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Finding the Fourth Proportional to 14,773.78, 22,108.65 and 9,229.74

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Solution

The fourth proportional to 14,773.78, 22,108.65 and 9,229.74 is: 13,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.78 : 22,108.65 = 9,229.74 : x
  2. Step 2: Convert to fraction form
    14,773.78/22,108.65 = 9,229.74/x
  3. Step 3: Cross multiply
    14,773.78x = 22,108.65 × 9,229.74
  4. Step 4: Simplify right side
    14,773.78x = 204,057,091.25
  5. Step 5: Solve for x
    x = 204,057,091.25/14,773.78
  6. Step 6: Final answer
    x = 13,812.11

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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.