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Finding the Fourth Proportional to 6,753.74, 10,129.86 and 1,823.87

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Solution

The fourth proportional to 6,753.74, 10,129.86 and 1,823.87 is: 2,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.74 : 10,129.86 = 1,823.87 : x
  2. Step 2: Convert to fraction form
    6,753.74/10,129.86 = 1,823.87/x
  3. Step 3: Cross multiply
    6,753.74x = 10,129.86 × 1,823.87
  4. Step 4: Simplify right side
    6,753.74x = 18,475,573.08
  5. Step 5: Solve for x
    x = 18,475,573.08/6,753.74
  6. Step 6: Final answer
    x = 2,735.61

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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.