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Finding the Fourth Proportional to 22,753.29, 34,127.51 and 7,962.49

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Solution

The fourth proportional to 22,753.29, 34,127.51 and 7,962.49 is: 11,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.29 : 34,127.51 = 7,962.49 : x
  2. Step 2: Convert to fraction form
    22,753.29/34,127.51 = 7,962.49/x
  3. Step 3: Cross multiply
    22,753.29x = 34,127.51 × 7,962.49
  4. Step 4: Simplify right side
    22,753.29x = 271,739,957.10
  5. Step 5: Solve for x
    x = 271,739,957.10/22,753.29
  6. Step 6: Final answer
    x = 11,942.89

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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.