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Finding the Fourth Proportional to 6,744.50, 10,115.22 and 1,814.53

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Solution

The fourth proportional to 6,744.50, 10,115.22 and 1,814.53 is: 2,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.50 : 10,115.22 = 1,814.53 : x
  2. Step 2: Convert to fraction form
    6,744.50/10,115.22 = 1,814.53/x
  3. Step 3: Cross multiply
    6,744.50x = 10,115.22 × 1,814.53
  4. Step 4: Simplify right side
    6,744.50x = 18,354,329.42
  5. Step 5: Solve for x
    x = 18,354,329.42/6,744.50
  6. Step 6: Final answer
    x = 2,721.38

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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.