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Finding the Fourth Proportional to 6,753.31, 10,129.97 and 1,822.94

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Solution

The fourth proportional to 6,753.31, 10,129.97 and 1,822.94 is: 2,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.31 : 10,129.97 = 1,822.94 : x
  2. Step 2: Convert to fraction form
    6,753.31/10,129.97 = 1,822.94/x
  3. Step 3: Cross multiply
    6,753.31x = 10,129.97 × 1,822.94
  4. Step 4: Simplify right side
    6,753.31x = 18,466,343.72
  5. Step 5: Solve for x
    x = 18,466,343.72/6,753.31
  6. Step 6: Final answer
    x = 2,734.41

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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.