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Finding the Fourth Proportional to 12,097.01, 16,693.87 and 6,791.82

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Solution

The fourth proportional to 12,097.01, 16,693.87 and 6,791.82 is: 9,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.01 : 16,693.87 = 6,791.82 : x
  2. Step 2: Convert to fraction form
    12,097.01/16,693.87 = 6,791.82/x
  3. Step 3: Cross multiply
    12,097.01x = 16,693.87 × 6,791.82
  4. Step 4: Simplify right side
    12,097.01x = 113,381,760.14
  5. Step 5: Solve for x
    x = 113,381,760.14/12,097.01
  6. Step 6: Final answer
    x = 9,372.71

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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.