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Finding the Fourth Proportional to 6,891.38, 10,337.50 and 2,274.38

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Solution

The fourth proportional to 6,891.38, 10,337.50 and 2,274.38 is: 3,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.38 : 10,337.50 = 2,274.38 : x
  2. Step 2: Convert to fraction form
    6,891.38/10,337.50 = 2,274.38/x
  3. Step 3: Cross multiply
    6,891.38x = 10,337.50 × 2,274.38
  4. Step 4: Simplify right side
    6,891.38x = 23,511,403.25
  5. Step 5: Solve for x
    x = 23,511,403.25/6,891.38
  6. Step 6: Final answer
    x = 3,411.71

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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.