Given Equation: We are given the equation (3)/(4)=(10)/(k). To find the value of k, we need to solve for k. This can be done by cross-multiplying the two fractions.Cross-Multiply Fractions: Cross-multiply the fractions to get 3 * k = 4 * 10.Perform Multiplication: Perform the multiplication on the right side of the equation to get 3 * k = 40.Divide to Solve for k: Now, divide both sides of the equation by 3 to solve for k. So, k = 40 / 3.Final Value of k: Simplify the division to get the final value of k. k = 13.333...

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$\frac{3}{4}=\frac{10}{k}$

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Grade 6

Powers with fractional bases

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\frac{3}{4}=\frac{10}{k}

Given Equation: We are given the equation $(\frac{3}{4})=(\frac{10}{k})$ . To find the value of $k$ , we need to solve for $k$ . This can be done by cross-multiplying the two fractions.
Cross-Multiply Fractions: Cross-multiply the fractions to get $3 \times k = 4 \times 10$ .
Perform Multiplication: Perform the multiplication on the right side of the equation to get $3 \times k = 40$ .
Divide to Solve for k: Now, divide both sides of the equation by $3$ to solve for $k$ . So, $k = \frac{40}{3}$ .
Final Value of k: Simplify the division to get the final value of $k$ . $k = 13.333\ldots$