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Finding the Fourth Proportional to 4,161.98, 6,242.97 and 4,057.49

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Solution

The fourth proportional to 4,161.98, 6,242.97 and 4,057.49 is: 6,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.98 : 6,242.97 = 4,057.49 : x
  2. Step 2: Convert to fraction form
    4,161.98/6,242.97 = 4,057.49/x
  3. Step 3: Cross multiply
    4,161.98x = 6,242.97 × 4,057.49
  4. Step 4: Simplify right side
    4,161.98x = 25,330,819.17
  5. Step 5: Solve for x
    x = 25,330,819.17/4,161.98
  6. Step 6: Final answer
    x = 6,086.24

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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.