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Finding the Fourth Proportional to 6,433.62, 9,651 and 2,537.10

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Solution

The fourth proportional to 6,433.62, 9,651 and 2,537.10 is: 3,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.62 : 9,651 = 2,537.10 : x
  2. Step 2: Convert to fraction form
    6,433.62/9,651 = 2,537.10/x
  3. Step 3: Cross multiply
    6,433.62x = 9,651 × 2,537.10
  4. Step 4: Simplify right side
    6,433.62x = 24,485,552.10
  5. Step 5: Solve for x
    x = 24,485,552.10/6,433.62
  6. Step 6: Final answer
    x = 3,805.87

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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.