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Finding the Fourth Proportional to 4,704.69, 6,489.82 and 4,229.02

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Solution

The fourth proportional to 4,704.69, 6,489.82 and 4,229.02 is: 5,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.69 : 6,489.82 = 4,229.02 : x
  2. Step 2: Convert to fraction form
    4,704.69/6,489.82 = 4,229.02/x
  3. Step 3: Cross multiply
    4,704.69x = 6,489.82 × 4,229.02
  4. Step 4: Simplify right side
    4,704.69x = 27,445,578.58
  5. Step 5: Solve for x
    x = 27,445,578.58/4,704.69
  6. Step 6: Final answer
    x = 5,833.66

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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.