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Finding the Fourth Proportional to 6,614.66, 9,922.10 and 5,057.44

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Solution

The fourth proportional to 6,614.66, 9,922.10 and 5,057.44 is: 7,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.66 : 9,922.10 = 5,057.44 : x
  2. Step 2: Convert to fraction form
    6,614.66/9,922.10 = 5,057.44/x
  3. Step 3: Cross multiply
    6,614.66x = 9,922.10 × 5,057.44
  4. Step 4: Simplify right side
    6,614.66x = 50,180,375.33
  5. Step 5: Solve for x
    x = 50,180,375.33/6,614.66
  6. Step 6: Final answer
    x = 7,586.23

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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.