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Finding the Fourth Proportional to 4,704.58, 6,493.17 and 4,469.62

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Solution

The fourth proportional to 4,704.58, 6,493.17 and 4,469.62 is: 6,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.58 : 6,493.17 = 4,469.62 : x
  2. Step 2: Convert to fraction form
    4,704.58/6,493.17 = 4,469.62/x
  3. Step 3: Cross multiply
    4,704.58x = 6,493.17 × 4,469.62
  4. Step 4: Simplify right side
    4,704.58x = 29,022,002.50
  5. Step 5: Solve for x
    x = 29,022,002.50/4,704.58
  6. Step 6: Final answer
    x = 6,168.88

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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.