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Solve for k. {:[(4)/(3)=(11 )/(k)],[k=◻]:}

Solve for k k .\newline43=11kk=□ \begin{array}{l} \frac{4}{3}=\frac{11}{k} \\ k=\square \end{array}

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Full solution

Q. Solve for k k .\newline43=11kk=□ \begin{array}{l} \frac{4}{3}=\frac{11}{k} \\ k=\square \end{array}
  1. Cross-Multiply Fractions: To solve for kk, we can cross-multiply the two fractions to get rid of the denominators.\newline(4)(k)=(3)(11)(4)(k) = (3)(11)
  2. Perform Multiplication: Now, we perform the multiplication on the right side of the equation. 4k=334k = 33
  3. Divide by 44: Next, we divide both sides of the equation by 44 to isolate kk.k=334k = \frac{33}{4}
  4. Calculate Value: Finally, we calculate the value of kk.k=8.25k = 8.25

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