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What is the value of x?\newline3:11::27:x3 : 11 :: 27 : x

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Full solution

Q. What is the value of x?\newline3:11::27:x3 : 11 :: 27 : x
  1. Identify Proportion Equation: Identify the proportion and set up the equation.\newlineThe proportion 3:11::27:x3:11::27:x means 311=27x.\frac{3}{11} = \frac{27}{x}.
  2. Cross-Multiply for x: Cross-multiply to solve for x.\newline3×x=11×273 \times x = 11 \times 27
  3. Perform Multiplication: Perform the multiplication. 3x=2973x = 297
  4. Divide to Solve: Divide both sides by 33 to solve for xx.x=2973x = \frac{297}{3}
  5. Calculate x Value: Calculate the value of xx.x=99x = 99

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