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Finding the Fourth Proportional to 22,753.06, 34,144.97 and 7,962.11

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Solution

The fourth proportional to 22,753.06, 34,144.97 and 7,962.11 is: 11,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.06 : 34,144.97 = 7,962.11 : x
  2. Step 2: Convert to fraction form
    22,753.06/34,144.97 = 7,962.11/x
  3. Step 3: Cross multiply
    22,753.06x = 34,144.97 × 7,962.11
  4. Step 4: Simplify right side
    22,753.06x = 271,865,796.55
  5. Step 5: Solve for x
    x = 271,865,796.55/22,753.06
  6. Step 6: Final answer
    x = 11,948.54

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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.