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Finding the Fourth Proportional to 8,523.72, 12,781.22 and 3,902.76

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Solution

The fourth proportional to 8,523.72, 12,781.22 and 3,902.76 is: 5,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.72 : 12,781.22 = 3,902.76 : x
  2. Step 2: Convert to fraction form
    8,523.72/12,781.22 = 3,902.76/x
  3. Step 3: Cross multiply
    8,523.72x = 12,781.22 × 3,902.76
  4. Step 4: Simplify right side
    8,523.72x = 49,882,034.17
  5. Step 5: Solve for x
    x = 49,882,034.17/8,523.72
  6. Step 6: Final answer
    x = 5,852.14

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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.