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Finding the Fourth Proportional to 16,575.57, 22,874.54 and 9,022.20

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Solution

The fourth proportional to 16,575.57, 22,874.54 and 9,022.20 is: 12,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.57 : 22,874.54 = 9,022.20 : x
  2. Step 2: Convert to fraction form
    16,575.57/22,874.54 = 9,022.20/x
  3. Step 3: Cross multiply
    16,575.57x = 22,874.54 × 9,022.20
  4. Step 4: Simplify right side
    16,575.57x = 206,378,674.79
  5. Step 5: Solve for x
    x = 206,378,674.79/16,575.57
  6. Step 6: Final answer
    x = 12,450.77

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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.