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Finding the Fourth Proportional to 6,140.50, 9,212.12 and 2,244.80

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Solution

The fourth proportional to 6,140.50, 9,212.12 and 2,244.80 is: 3,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.50 : 9,212.12 = 2,244.80 : x
  2. Step 2: Convert to fraction form
    6,140.50/9,212.12 = 2,244.80/x
  3. Step 3: Cross multiply
    6,140.50x = 9,212.12 × 2,244.80
  4. Step 4: Simplify right side
    6,140.50x = 20,679,366.98
  5. Step 5: Solve for x
    x = 20,679,366.98/6,140.50
  6. Step 6: Final answer
    x = 3,367.70

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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.