Pregunta
Find the missing value in the proportion. \( \frac{m}{66}=\frac{4}{11} \)
Ask by Guzman Moran. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( m = 24 \)
Solución
Solve the equation \( m/66=4/11 \).
Solve the equation by following steps:
- step0: Solve for \(m\):
\(\frac{m}{66}=\frac{4}{11}\)
- step1: Multiply both sides of the equation by \(66:\)
\(\frac{m}{66}\times 66=\frac{4}{11}\times 66\)
- step2: Multiply the terms:
\(m=\frac{4\times 66}{11}\)
- step3: Evaluate:
\(m=24\)
The missing value in the proportion is \( m = 24 \).
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Simplifique esta solución Beyond the Answer
To find the missing value \( m \) in the proportion \( \frac{m}{66} = \frac{4}{11} \), you can cross-multiply. This means setting the product of the means equal to the product of the extremes: \[ m \cdot 11 = 4 \cdot 66 \] Now calculate \( 4 \cdot 66 \): \[ 4 \cdot 66 = 264 \] So we have: \[ 11m = 264 \] Now, divide both sides by 11 to solve for \( m \): \[ m = \frac{264}{11} = 24 \] Therefore, the missing value \( m \) is 24.
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