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Finding the Fourth Proportional to 6,242.70, 8,614.17 and 3,448.02

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Solution

The fourth proportional to 6,242.70, 8,614.17 and 3,448.02 is: 4,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.70 : 8,614.17 = 3,448.02 : x
  2. Step 2: Convert to fraction form
    6,242.70/8,614.17 = 3,448.02/x
  3. Step 3: Cross multiply
    6,242.70x = 8,614.17 × 3,448.02
  4. Step 4: Simplify right side
    6,242.70x = 29,701,830.44
  5. Step 5: Solve for x
    x = 29,701,830.44/6,242.70
  6. Step 6: Final answer
    x = 4,757.85

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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.