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Finding the Fourth Proportional to 7,766.68, 10,717.98 and 4,229.83

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Solution

The fourth proportional to 7,766.68, 10,717.98 and 4,229.83 is: 5,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.68 : 10,717.98 = 4,229.83 : x
  2. Step 2: Convert to fraction form
    7,766.68/10,717.98 = 4,229.83/x
  3. Step 3: Cross multiply
    7,766.68x = 10,717.98 × 4,229.83
  4. Step 4: Simplify right side
    7,766.68x = 45,335,233.34
  5. Step 5: Solve for x
    x = 45,335,233.34/7,766.68
  6. Step 6: Final answer
    x = 5,837.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.