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Finding the Fourth Proportional to 6,763.50, 10,143.90 and 2,381.13

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Solution

The fourth proportional to 6,763.50, 10,143.90 and 2,381.13 is: 3,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.50 : 10,143.90 = 2,381.13 : x
  2. Step 2: Convert to fraction form
    6,763.50/10,143.90 = 2,381.13/x
  3. Step 3: Cross multiply
    6,763.50x = 10,143.90 × 2,381.13
  4. Step 4: Simplify right side
    6,763.50x = 24,153,944.61
  5. Step 5: Solve for x
    x = 24,153,944.61/6,763.50
  6. Step 6: Final answer
    x = 3,571.22

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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.