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Finding the Fourth Proportional to 6,242.50, 8,614.82 and 3,409.92

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Solution

The fourth proportional to 6,242.50, 8,614.82 and 3,409.92 is: 4,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.50 : 8,614.82 = 3,409.92 : x
  2. Step 2: Convert to fraction form
    6,242.50/8,614.82 = 3,409.92/x
  3. Step 3: Cross multiply
    6,242.50x = 8,614.82 × 3,409.92
  4. Step 4: Simplify right side
    6,242.50x = 29,375,847.01
  5. Step 5: Solve for x
    x = 29,375,847.01/6,242.50
  6. Step 6: Final answer
    x = 4,705.78

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1.5x scale

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.