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Finding the Fourth Proportional to 6,732.28, 10,097.61 and 1,801.81

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Solution

The fourth proportional to 6,732.28, 10,097.61 and 1,801.81 is: 2,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.28 : 10,097.61 = 1,801.81 : x
  2. Step 2: Convert to fraction form
    6,732.28/10,097.61 = 1,801.81/x
  3. Step 3: Cross multiply
    6,732.28x = 10,097.61 × 1,801.81
  4. Step 4: Simplify right side
    6,732.28x = 18,193,974.67
  5. Step 5: Solve for x
    x = 18,193,974.67/6,732.28
  6. Step 6: Final answer
    x = 2,702.50

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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.