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Finding the Fourth Proportional to 6,578, 9,871.86 and 3,115.25

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Solution

The fourth proportional to 6,578, 9,871.86 and 3,115.25 is: 4,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 9,871.86 = 3,115.25 : x
  2. Step 2: Convert to fraction form
    6,578/9,871.86 = 3,115.25/x
  3. Step 3: Cross multiply
    6,578x = 9,871.86 × 3,115.25
  4. Step 4: Simplify right side
    6,578x = 30,753,311.87
  5. Step 5: Solve for x
    x = 30,753,311.87/6,578
  6. Step 6: Final answer
    x = 4,675.18

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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.