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Finding the Fourth Proportional to 6,647.87, 9,175.38 and 3,817.15

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Solution

The fourth proportional to 6,647.87, 9,175.38 and 3,817.15 is: 5,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.87 : 9,175.38 = 3,817.15 : x
  2. Step 2: Convert to fraction form
    6,647.87/9,175.38 = 3,817.15/x
  3. Step 3: Cross multiply
    6,647.87x = 9,175.38 × 3,817.15
  4. Step 4: Simplify right side
    6,647.87x = 35,023,778.83
  5. Step 5: Solve for x
    x = 35,023,778.83/6,647.87
  6. Step 6: Final answer
    x = 5,268.43

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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.