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Finding the Fourth Proportional to 6,493.74, 9,733.32 and 2,797.71

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Solution

The fourth proportional to 6,493.74, 9,733.32 and 2,797.71 is: 4,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.74 : 9,733.32 = 2,797.71 : x
  2. Step 2: Convert to fraction form
    6,493.74/9,733.32 = 2,797.71/x
  3. Step 3: Cross multiply
    6,493.74x = 9,733.32 × 2,797.71
  4. Step 4: Simplify right side
    6,493.74x = 27,231,006.70
  5. Step 5: Solve for x
    x = 27,231,006.70/6,493.74
  6. Step 6: Final answer
    x = 4,193.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.