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Finding the Fourth Proportional to 6,251, 8,626.54 and 3,767.16

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Solution

The fourth proportional to 6,251, 8,626.54 and 3,767.16 is: 5,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251 : 8,626.54 = 3,767.16 : x
  2. Step 2: Convert to fraction form
    6,251/8,626.54 = 3,767.16/x
  3. Step 3: Cross multiply
    6,251x = 8,626.54 × 3,767.16
  4. Step 4: Simplify right side
    6,251x = 32,497,556.43
  5. Step 5: Solve for x
    x = 32,497,556.43/6,251
  6. Step 6: Final answer
    x = 5,198.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.