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Finding the Fourth Proportional to 18,277.92, 27,419.75 and 7,747.97

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Solution

The fourth proportional to 18,277.92, 27,419.75 and 7,747.97 is: 11,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.92 : 27,419.75 = 7,747.97 : x
  2. Step 2: Convert to fraction form
    18,277.92/27,419.75 = 7,747.97/x
  3. Step 3: Cross multiply
    18,277.92x = 27,419.75 × 7,747.97
  4. Step 4: Simplify right side
    18,277.92x = 212,447,224.57
  5. Step 5: Solve for x
    x = 212,447,224.57/18,277.92
  6. Step 6: Final answer
    x = 11,623.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.