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Finding the Fourth Proportional to 6,538.24, 9,799.80 and 4,073.68

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Solution

The fourth proportional to 6,538.24, 9,799.80 and 4,073.68 is: 6,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.24 : 9,799.80 = 4,073.68 : x
  2. Step 2: Convert to fraction form
    6,538.24/9,799.80 = 4,073.68/x
  3. Step 3: Cross multiply
    6,538.24x = 9,799.80 × 4,073.68
  4. Step 4: Simplify right side
    6,538.24x = 39,921,249.26
  5. Step 5: Solve for x
    x = 39,921,249.26/6,538.24
  6. Step 6: Final answer
    x = 6,105.81

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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.