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Finding the Fourth Proportional to 12,169.34, 16,793.94 and 6,863.14

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Solution

The fourth proportional to 12,169.34, 16,793.94 and 6,863.14 is: 9,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.34 : 16,793.94 = 6,863.14 : x
  2. Step 2: Convert to fraction form
    12,169.34/16,793.94 = 6,863.14/x
  3. Step 3: Cross multiply
    12,169.34x = 16,793.94 × 6,863.14
  4. Step 4: Simplify right side
    12,169.34x = 115,259,161.37
  5. Step 5: Solve for x
    x = 115,259,161.37/12,169.34
  6. Step 6: Final answer
    x = 9,471.27

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1.5x scale

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.