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solve for h in the proportion. \\(\\frac{h}{6} = \\frac{12}{8}\\) \\(h …

Question

solve for h in the proportion.
\\(\frac{h}{6} = \frac{12}{8}\\)
\\(h = \square\\)
submit

Explanation:

Step1: Cross - multiply the proportion

To solve for \( h \) in the proportion \(\frac{h}{6}=\frac{12}{8}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, we have \(h\times8=6\times12\).
\(8h = 72\)

Step2: Solve for \( h \)

Divide both sides of the equation \(8h = 72\) by 8 to isolate \( h \).
\(h=\frac{72}{8}\)
\(h = 9\)

Answer:

\(9\)