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Solve for k. {:[(4)/(k)=(6)/(11)],[k=]:}

Solve for k k .\newline4k=611k= \begin{array}{l} \frac{4}{k}=\frac{6}{11} \\ k= \end{array}

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Full solution

Q. Solve for k k .\newline4k=611k= \begin{array}{l} \frac{4}{k}=\frac{6}{11} \\ k= \end{array}
  1. Identify Property: Identify the cross-multiplication property for the equation 4k=611\frac{4}{k} = \frac{6}{11}. To solve for kk, we can cross-multiply the terms in the equation.
  2. Cross-Multiply Equation: Cross-multiply the terms in the equation.\newline(4)(11)=(6)(k)(4)(11) = (6)(k)
  3. Perform Multiplication: Perform the multiplication on both sides.\newline44=6k44 = 6k
  4. Divide to Solve: Divide both sides by 66 to solve for kk.k=446k = \frac{44}{6}
  5. Simplify Division: Simplify the division to find the value of kk.k=7.333...k = 7.333...

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