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Finding the Fourth Proportional to 6,753.60, 10,129.82 and 1,823.20

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Solution

The fourth proportional to 6,753.60, 10,129.82 and 1,823.20 is: 2,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.60 : 10,129.82 = 1,823.20 : x
  2. Step 2: Convert to fraction form
    6,753.60/10,129.82 = 1,823.20/x
  3. Step 3: Cross multiply
    6,753.60x = 10,129.82 × 1,823.20
  4. Step 4: Simplify right side
    6,753.60x = 18,468,687.82
  5. Step 5: Solve for x
    x = 18,468,687.82/6,753.60
  6. Step 6: Final answer
    x = 2,734.64

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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.