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Finding the Fourth Proportional to 6,738.64, 10,100.22 and 3,614.92

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Solution

The fourth proportional to 6,738.64, 10,100.22 and 3,614.92 is: 5,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.64 : 10,100.22 = 3,614.92 : x
  2. Step 2: Convert to fraction form
    6,738.64/10,100.22 = 3,614.92/x
  3. Step 3: Cross multiply
    6,738.64x = 10,100.22 × 3,614.92
  4. Step 4: Simplify right side
    6,738.64x = 36,511,487.28
  5. Step 5: Solve for x
    x = 36,511,487.28/6,738.64
  6. Step 6: Final answer
    x = 5,418.23

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1.5x scale

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.