If p is inversely proportional to q, and p=8 when q=6, what is the value of q when p=12?

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{"type":"doc","content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1 (Inverse Proportion Formula):","type":"text"},{"text":" Since ","type":"text"},{"attrs":{"latex":"p"},"type":"math_inline"},{"text":" is inversely proportional to ","type":"text"},{"attrs":{"latex":"q"},"type":"math_inline"},{"text":", their product is a constant ","type":"text"},{"attrs":{"latex":"k"},"type":"math_inline"},{"type":"text","text":":"}],"type":"paragraph"},{"attrs":{"latex":"p \times q = k"},"type":"math_block"},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 2 (Solve for Constant k):","type":"text"},{"text":" We are given ","type":"text"},{"attrs":{"latex":"p = 8"},"type":"math_inline"},{"text":" when ","type":"text"},{"attrs":{"latex":"q = 6"},"type":"math_inline"},{"type":"text","text":". Substituting these values to find "},{"attrs":{"latex":"k"},"type":"math_inline"},{"type":"text","text":":"}]},{"type":"math_block","attrs":{"latex":"k = 8 \times 6 = 48"}},{"content":[{"type":"text","text":"So the relation is "},{"attrs":{"latex":"p \times q = 48"},"type":"math_inline"},{"text":".","type":"text"}],"type":"paragraph"},{"content":[{"text":"Step 3 (Find q when p = 12):","type":"text","marks":[{"type":"bold"}]},{"text":" Substitute ","type":"text"},{"type":"math_inline","attrs":{"latex":"p = 12"}},{"text":" into the relation:","type":"text"}],"type":"paragraph"},{"type":"math_block","attrs":{"latex":"12 \times q = 48 \implies q = \frac{48}{12} = 4"}},{"content":[{"marks":[{"type":"bold"}],"text":"Step 4 (Conclusion):","type":"text"},{"type":"text","text":" The value of "},{"attrs":{"latex":"q"},"type":"math_inline"},{"text":" when ","type":"text"},{"attrs":{"latex":"p = 12"},"type":"math_inline"},{"text":" is exactly ","type":"text"},{"text":"4","type":"text","marks":[{"type":"code"}]},{"text":".","type":"text"}],"type":"paragraph"}]}

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