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Finding the Fourth Proportional to 12,174.96, 16,801.38 and 6,869.46

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Solution

The fourth proportional to 12,174.96, 16,801.38 and 6,869.46 is: 9,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.96 : 16,801.38 = 6,869.46 : x
  2. Step 2: Convert to fraction form
    12,174.96/16,801.38 = 6,869.46/x
  3. Step 3: Cross multiply
    12,174.96x = 16,801.38 × 6,869.46
  4. Step 4: Simplify right side
    12,174.96x = 115,416,407.85
  5. Step 5: Solve for x
    x = 115,416,407.85/12,174.96
  6. Step 6: Final answer
    x = 9,479.82

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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.