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Finding the Fourth Proportional to 4,496.62, 6,206.14 and 2,819.48

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Solution

The fourth proportional to 4,496.62, 6,206.14 and 2,819.48 is: 3,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.62 : 6,206.14 = 2,819.48 : x
  2. Step 2: Convert to fraction form
    4,496.62/6,206.14 = 2,819.48/x
  3. Step 3: Cross multiply
    4,496.62x = 6,206.14 × 2,819.48
  4. Step 4: Simplify right side
    4,496.62x = 17,498,049.53
  5. Step 5: Solve for x
    x = 17,498,049.53/4,496.62
  6. Step 6: Final answer
    x = 3,891.38

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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.