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Finding the Fourth Proportional to 22,744.30, 34,101.78 and 9,593.14

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Solution

The fourth proportional to 22,744.30, 34,101.78 and 9,593.14 is: 14,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.30 : 34,101.78 = 9,593.14 : x
  2. Step 2: Convert to fraction form
    22,744.30/34,101.78 = 9,593.14/x
  3. Step 3: Cross multiply
    22,744.30x = 34,101.78 × 9,593.14
  4. Step 4: Simplify right side
    22,744.30x = 327,143,149.79
  5. Step 5: Solve for x
    x = 327,143,149.79/22,744.30
  6. Step 6: Final answer
    x = 14,383.52

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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.