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Finding the Fourth Proportional to 6,500.62, 9,751.08 and 2,118.42

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Solution

The fourth proportional to 6,500.62, 9,751.08 and 2,118.42 is: 3,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.62 : 9,751.08 = 2,118.42 : x
  2. Step 2: Convert to fraction form
    6,500.62/9,751.08 = 2,118.42/x
  3. Step 3: Cross multiply
    6,500.62x = 9,751.08 × 2,118.42
  4. Step 4: Simplify right side
    6,500.62x = 20,656,882.89
  5. Step 5: Solve for x
    x = 20,656,882.89/6,500.62
  6. Step 6: Final answer
    x = 3,177.68

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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.