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Finding the Fourth Proportional to 6,566.57, 9,850 and 3,452.66

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Solution

The fourth proportional to 6,566.57, 9,850 and 3,452.66 is: 5,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.57 : 9,850 = 3,452.66 : x
  2. Step 2: Convert to fraction form
    6,566.57/9,850 = 3,452.66/x
  3. Step 3: Cross multiply
    6,566.57x = 9,850 × 3,452.66
  4. Step 4: Simplify right side
    6,566.57x = 34,008,701
  5. Step 5: Solve for x
    x = 34,008,701/6,566.57
  6. Step 6: Final answer
    x = 5,179.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.