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Finding the Fourth Proportional to 16,575.97, 22,874.88 and 9,022.29

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Solution

The fourth proportional to 16,575.97, 22,874.88 and 9,022.29 is: 12,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.97 : 22,874.88 = 9,022.29 : x
  2. Step 2: Convert to fraction form
    16,575.97/22,874.88 = 9,022.29/x
  3. Step 3: Cross multiply
    16,575.97x = 22,874.88 × 9,022.29
  4. Step 4: Simplify right side
    16,575.97x = 206,383,801.08
  5. Step 5: Solve for x
    x = 206,383,801.08/16,575.97
  6. Step 6: Final answer
    x = 12,450.78

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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.