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Finding the Fourth Proportional to 6,874.53, 10,312.28 and 3,367.46

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Solution

The fourth proportional to 6,874.53, 10,312.28 and 3,367.46 is: 5,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.53 : 10,312.28 = 3,367.46 : x
  2. Step 2: Convert to fraction form
    6,874.53/10,312.28 = 3,367.46/x
  3. Step 3: Cross multiply
    6,874.53x = 10,312.28 × 3,367.46
  4. Step 4: Simplify right side
    6,874.53x = 34,726,211.98
  5. Step 5: Solve for x
    x = 34,726,211.98/6,874.53
  6. Step 6: Final answer
    x = 5,051.43

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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.