Solve proportion equations and explain why the setup matches the context.
Solve a basic proportion
Problem
Solve the proportion \(x/7~=~12/21\). What is \(x\)?
Big Picture
What this problem is really about
The two fractions are equal ratios, so their diagonal products must match. We’ll multiply x by the opposite denominator and seven by the opposite numerator, then divide the resulting one-step equation by the coefficient on x. Substituting the solution and reducing both fractions will verify that the original proportion remains true.
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