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Finding the Fourth Proportional to 6,568.52, 9,856.14 and 3,104.84

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Solution

The fourth proportional to 6,568.52, 9,856.14 and 3,104.84 is: 4,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.52 : 9,856.14 = 3,104.84 : x
  2. Step 2: Convert to fraction form
    6,568.52/9,856.14 = 3,104.84/x
  3. Step 3: Cross multiply
    6,568.52x = 9,856.14 × 3,104.84
  4. Step 4: Simplify right side
    6,568.52x = 30,601,737.72
  5. Step 5: Solve for x
    x = 30,601,737.72/6,568.52
  6. Step 6: Final answer
    x = 4,658.85

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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.