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Finding the Fourth Proportional to 27,874.71, 38,469.11 and 15,937.74

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Solution

The fourth proportional to 27,874.71, 38,469.11 and 15,937.74 is: 21,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.71 : 38,469.11 = 15,937.74 : x
  2. Step 2: Convert to fraction form
    27,874.71/38,469.11 = 15,937.74/x
  3. Step 3: Cross multiply
    27,874.71x = 38,469.11 × 15,937.74
  4. Step 4: Simplify right side
    27,874.71x = 613,110,593.52
  5. Step 5: Solve for x
    x = 613,110,593.52/27,874.71
  6. Step 6: Final answer
    x = 21,995.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.