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Finding the Fourth Proportional to 6,874, 10,311.81 and 2,257

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Solution

The fourth proportional to 6,874, 10,311.81 and 2,257 is: 3,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874 : 10,311.81 = 2,257 : x
  2. Step 2: Convert to fraction form
    6,874/10,311.81 = 2,257/x
  3. Step 3: Cross multiply
    6,874x = 10,311.81 × 2,257
  4. Step 4: Simplify right side
    6,874x = 23,273,755.17
  5. Step 5: Solve for x
    x = 23,273,755.17/6,874
  6. Step 6: Final answer
    x = 3,385.77

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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.