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Finding the Fourth Proportional to 4,357.28, 6,013 and 2,469.24

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Solution

The fourth proportional to 4,357.28, 6,013 and 2,469.24 is: 3,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.28 : 6,013 = 2,469.24 : x
  2. Step 2: Convert to fraction form
    4,357.28/6,013 = 2,469.24/x
  3. Step 3: Cross multiply
    4,357.28x = 6,013 × 2,469.24
  4. Step 4: Simplify right side
    4,357.28x = 14,847,540.12
  5. Step 5: Solve for x
    x = 14,847,540.12/4,357.28
  6. Step 6: Final answer
    x = 3,407.52

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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.