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Finding the Fourth Proportional to 6,898.16, 10,344.41 and 2,737.60

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Solution

The fourth proportional to 6,898.16, 10,344.41 and 2,737.60 is: 4,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.16 : 10,344.41 = 2,737.60 : x
  2. Step 2: Convert to fraction form
    6,898.16/10,344.41 = 2,737.60/x
  3. Step 3: Cross multiply
    6,898.16x = 10,344.41 × 2,737.60
  4. Step 4: Simplify right side
    6,898.16x = 28,318,827.53
  5. Step 5: Solve for x
    x = 28,318,827.53/6,898.16
  6. Step 6: Final answer
    x = 4,105.27

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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.