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Finding the Fourth Proportional to 6,493.41, 9,733.13 and 2,797.38

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Solution

The fourth proportional to 6,493.41, 9,733.13 and 2,797.38 is: 4,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.41 : 9,733.13 = 2,797.38 : x
  2. Step 2: Convert to fraction form
    6,493.41/9,733.13 = 2,797.38/x
  3. Step 3: Cross multiply
    6,493.41x = 9,733.13 × 2,797.38
  4. Step 4: Simplify right side
    6,493.41x = 27,227,294.53
  5. Step 5: Solve for x
    x = 27,227,294.53/6,493.41
  6. Step 6: Final answer
    x = 4,193.06

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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.