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Finding the Fourth Proportional to 12,096, 16,693.56 and 6,791.04

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Solution

The fourth proportional to 12,096, 16,693.56 and 6,791.04 is: 9,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 16,693.56 = 6,791.04 : x
  2. Step 2: Convert to fraction form
    12,096/16,693.56 = 6,791.04/x
  3. Step 3: Cross multiply
    12,096x = 16,693.56 × 6,791.04
  4. Step 4: Simplify right side
    12,096x = 113,366,633.70
  5. Step 5: Solve for x
    x = 113,366,633.70/12,096
  6. Step 6: Final answer
    x = 9,372.24

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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.