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Finding the Fourth Proportional to 6,847.74, 10,272.57 and 2,167.25

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Solution

The fourth proportional to 6,847.74, 10,272.57 and 2,167.25 is: 3,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.74 : 10,272.57 = 2,167.25 : x
  2. Step 2: Convert to fraction form
    6,847.74/10,272.57 = 2,167.25/x
  3. Step 3: Cross multiply
    6,847.74x = 10,272.57 × 2,167.25
  4. Step 4: Simplify right side
    6,847.74x = 22,263,216.50
  5. Step 5: Solve for x
    x = 22,263,216.50/6,847.74
  6. Step 6: Final answer
    x = 3,251.18

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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.