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Finding the Fourth Proportional to 6,229.80, 8,600.22 and 4,635

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Solution

The fourth proportional to 6,229.80, 8,600.22 and 4,635 is: 6,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.80 : 8,600.22 = 4,635 : x
  2. Step 2: Convert to fraction form
    6,229.80/8,600.22 = 4,635/x
  3. Step 3: Cross multiply
    6,229.80x = 8,600.22 × 4,635
  4. Step 4: Simplify right side
    6,229.80x = 39,862,019.70
  5. Step 5: Solve for x
    x = 39,862,019.70/6,229.80
  6. Step 6: Final answer
    x = 6,398.60

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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.