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Finding the Fourth Proportional to 6,585.50, 9,882.13 and 2,428.41

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Solution

The fourth proportional to 6,585.50, 9,882.13 and 2,428.41 is: 3,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.50 : 9,882.13 = 2,428.41 : x
  2. Step 2: Convert to fraction form
    6,585.50/9,882.13 = 2,428.41/x
  3. Step 3: Cross multiply
    6,585.50x = 9,882.13 × 2,428.41
  4. Step 4: Simplify right side
    6,585.50x = 23,997,863.31
  5. Step 5: Solve for x
    x = 23,997,863.31/6,585.50
  6. Step 6: Final answer
    x = 3,644.05

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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.