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Finding the Fourth Proportional to 22,752.73, 34,144.47 and 7,961.78

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Solution

The fourth proportional to 22,752.73, 34,144.47 and 7,961.78 is: 11,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.73 : 34,144.47 = 7,961.78 : x
  2. Step 2: Convert to fraction form
    22,752.73/34,144.47 = 7,961.78/x
  3. Step 3: Cross multiply
    22,752.73x = 34,144.47 × 7,961.78
  4. Step 4: Simplify right side
    22,752.73x = 271,850,685.24
  5. Step 5: Solve for x
    x = 271,850,685.24/22,752.73
  6. Step 6: Final answer
    x = 11,948.05

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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.