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Finding the Fourth Proportional to 6,123.17, 9,183.21 and 2,611.44

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Solution

The fourth proportional to 6,123.17, 9,183.21 and 2,611.44 is: 3,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.17 : 9,183.21 = 2,611.44 : x
  2. Step 2: Convert to fraction form
    6,123.17/9,183.21 = 2,611.44/x
  3. Step 3: Cross multiply
    6,123.17x = 9,183.21 × 2,611.44
  4. Step 4: Simplify right side
    6,123.17x = 23,981,401.92
  5. Step 5: Solve for x
    x = 23,981,401.92/6,123.17
  6. Step 6: Final answer
    x = 3,916.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.