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Finding the Fourth Proportional to 22,758.76, 34,131.46 and 7,964.92

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Solution

The fourth proportional to 22,758.76, 34,131.46 and 7,964.92 is: 11,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.76 : 34,131.46 = 7,964.92 : x
  2. Step 2: Convert to fraction form
    22,758.76/34,131.46 = 7,964.92/x
  3. Step 3: Cross multiply
    22,758.76x = 34,131.46 × 7,964.92
  4. Step 4: Simplify right side
    22,758.76x = 271,854,348.38
  5. Step 5: Solve for x
    x = 271,854,348.38/22,758.76
  6. Step 6: Final answer
    x = 11,945.04

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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.