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Finding the Fourth Proportional to 6,569.74, 9,851.68 and 2,408.65

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Solution

The fourth proportional to 6,569.74, 9,851.68 and 2,408.65 is: 3,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.74 : 9,851.68 = 2,408.65 : x
  2. Step 2: Convert to fraction form
    6,569.74/9,851.68 = 2,408.65/x
  3. Step 3: Cross multiply
    6,569.74x = 9,851.68 × 2,408.65
  4. Step 4: Simplify right side
    6,569.74x = 23,729,249.03
  5. Step 5: Solve for x
    x = 23,729,249.03/6,569.74
  6. Step 6: Final answer
    x = 3,611.90

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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.