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solve for h in the prop \\(\\frac{4}{h} = \\frac{556}{973}\\) \\(h = \\…

Question

solve for h in the prop
\\(\frac{4}{h} = \frac{556}{973}\\)
\\(h = \square\\)
submit

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{4}{h}=\frac{556}{973}\), cross - multiplying gives us \(556h = 4\times973\).

Step2: Calculate the right - hand side

First, calculate \(4\times973 = 3892\). So the equation becomes \(556h=3892\).

Step3: Solve for \(h\)

To solve for \(h\), divide both sides of the equation by 556: \(h=\frac{3892}{556}\). Simplify this fraction by dividing both the numerator and the denominator by 4: \(h = \frac{973}{139}\approx7.0\) (or we can keep it as a fraction \(\frac{973}{139}\) or a decimal approximately equal to 7.0). Wait, let's do the division correctly: \(3892\div556\):
\(556\times7 = 3892\), so \(h = 7\).

Answer:

\(h = 7\)