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Finding the Fourth Proportional to 6,098.43, 9,144.41 and 2,400.51

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Solution

The fourth proportional to 6,098.43, 9,144.41 and 2,400.51 is: 3,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.43 : 9,144.41 = 2,400.51 : x
  2. Step 2: Convert to fraction form
    6,098.43/9,144.41 = 2,400.51/x
  3. Step 3: Cross multiply
    6,098.43x = 9,144.41 × 2,400.51
  4. Step 4: Simplify right side
    6,098.43x = 21,951,235.65
  5. Step 5: Solve for x
    x = 21,951,235.65/6,098.43
  6. Step 6: Final answer
    x = 3,599.49

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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.