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Finding the Fourth Proportional to 15,897.97, 21,938.68 and 8,824.92

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Solution

The fourth proportional to 15,897.97, 21,938.68 and 8,824.92 is: 12,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.97 : 21,938.68 = 8,824.92 : x
  2. Step 2: Convert to fraction form
    15,897.97/21,938.68 = 8,824.92/x
  3. Step 3: Cross multiply
    15,897.97x = 21,938.68 × 8,824.92
  4. Step 4: Simplify right side
    15,897.97x = 193,607,095.91
  5. Step 5: Solve for x
    x = 193,607,095.91/15,897.97
  6. Step 6: Final answer
    x = 12,178.10

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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.