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Finding the Fourth Proportional to 7,766.82, 10,718.12 and 4,229.96

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Solution

The fourth proportional to 7,766.82, 10,718.12 and 4,229.96 is: 5,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.82 : 10,718.12 = 4,229.96 : x
  2. Step 2: Convert to fraction form
    7,766.82/10,718.12 = 4,229.96/x
  3. Step 3: Cross multiply
    7,766.82x = 10,718.12 × 4,229.96
  4. Step 4: Simplify right side
    7,766.82x = 45,337,175.86
  5. Step 5: Solve for x
    x = 45,337,175.86/7,766.82
  6. Step 6: Final answer
    x = 5,837.29

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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.