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Finding the Fourth Proportional to 27,002.37, 40,503.92 and 9,472.71

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Solution

The fourth proportional to 27,002.37, 40,503.92 and 9,472.71 is: 14,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.37 : 40,503.92 = 9,472.71 : x
  2. Step 2: Convert to fraction form
    27,002.37/40,503.92 = 9,472.71/x
  3. Step 3: Cross multiply
    27,002.37x = 40,503.92 × 9,472.71
  4. Step 4: Simplify right side
    27,002.37x = 383,681,888.02
  5. Step 5: Solve for x
    x = 383,681,888.02/27,002.37
  6. Step 6: Final answer
    x = 14,209.19

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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.