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Finding the Fourth Proportional to 4,694.38, 6,478.24 and 2,704.92

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Solution

The fourth proportional to 4,694.38, 6,478.24 and 2,704.92 is: 3,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.38 : 6,478.24 = 2,704.92 : x
  2. Step 2: Convert to fraction form
    4,694.38/6,478.24 = 2,704.92/x
  3. Step 3: Cross multiply
    4,694.38x = 6,478.24 × 2,704.92
  4. Step 4: Simplify right side
    4,694.38x = 17,523,120.94
  5. Step 5: Solve for x
    x = 17,523,120.94/4,694.38
  6. Step 6: Final answer
    x = 3,732.79

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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.