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Finding the Fourth Proportional to 6,496.20, 9,744.28 and 1,565.83

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Solution

The fourth proportional to 6,496.20, 9,744.28 and 1,565.83 is: 2,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.20 : 9,744.28 = 1,565.83 : x
  2. Step 2: Convert to fraction form
    6,496.20/9,744.28 = 1,565.83/x
  3. Step 3: Cross multiply
    6,496.20x = 9,744.28 × 1,565.83
  4. Step 4: Simplify right side
    6,496.20x = 15,257,829.40
  5. Step 5: Solve for x
    x = 15,257,829.40/6,496.20
  6. Step 6: Final answer
    x = 2,348.73

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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.