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Finding the Fourth Proportional to 11,693.80, 17,539 and 3,797

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Solution

The fourth proportional to 11,693.80, 17,539 and 3,797 is: 5,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.80 : 17,539 = 3,797 : x
  2. Step 2: Convert to fraction form
    11,693.80/17,539 = 3,797/x
  3. Step 3: Cross multiply
    11,693.80x = 17,539 × 3,797
  4. Step 4: Simplify right side
    11,693.80x = 66,595,583
  5. Step 5: Solve for x
    x = 66,595,583/11,693.80
  6. Step 6: Final answer
    x = 5,694.95

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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.