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Finding the Fourth Proportional to 6,338.16, 9,507.78 and 1,658.15

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Solution

The fourth proportional to 6,338.16, 9,507.78 and 1,658.15 is: 2,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.16 : 9,507.78 = 1,658.15 : x
  2. Step 2: Convert to fraction form
    6,338.16/9,507.78 = 1,658.15/x
  3. Step 3: Cross multiply
    6,338.16x = 9,507.78 × 1,658.15
  4. Step 4: Simplify right side
    6,338.16x = 15,765,277.87
  5. Step 5: Solve for x
    x = 15,765,277.87/6,338.16
  6. Step 6: Final answer
    x = 2,487.36

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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.