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Finding the Fourth Proportional to 6,753.76, 10,129.48 and 1,822.30

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Solution

The fourth proportional to 6,753.76, 10,129.48 and 1,822.30 is: 2,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.76 : 10,129.48 = 1,822.30 : x
  2. Step 2: Convert to fraction form
    6,753.76/10,129.48 = 1,822.30/x
  3. Step 3: Cross multiply
    6,753.76x = 10,129.48 × 1,822.30
  4. Step 4: Simplify right side
    6,753.76x = 18,458,951.40
  5. Step 5: Solve for x
    x = 18,458,951.40/6,753.76
  6. Step 6: Final answer
    x = 2,733.14

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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.