Solve proportion equations and explain why the setup matches the context.
Solve an equivalent-ratio equation in varied forms
Problem
Solve \(x/40~=~15/100\) for \(x\).
Big Picture
What this problem is really about
The numerators correspond to each other, as do the denominators, so the equal ratios can be solved with diagonal products. We’ll multiply x by one hundred and forty by fifteen, then divide the resulting equation by one hundred. Simplifying both completed fractions to the same reduced ratio will provide the check.
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