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Finding the Fourth Proportional to 4,149.36, 6,213.24 and 4,026.24

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Solution

The fourth proportional to 4,149.36, 6,213.24 and 4,026.24 is: 6,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.36 : 6,213.24 = 4,026.24 : x
  2. Step 2: Convert to fraction form
    4,149.36/6,213.24 = 4,026.24/x
  3. Step 3: Cross multiply
    4,149.36x = 6,213.24 × 4,026.24
  4. Step 4: Simplify right side
    4,149.36x = 25,015,995.42
  5. Step 5: Solve for x
    x = 25,015,995.42/4,149.36
  6. Step 6: Final answer
    x = 6,028.88

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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.