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Finding the Fourth Proportional to 12,170.83, 16,793.83 and 6,865.54

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Solution

The fourth proportional to 12,170.83, 16,793.83 and 6,865.54 is: 9,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.83 : 16,793.83 = 6,865.54 : x
  2. Step 2: Convert to fraction form
    12,170.83/16,793.83 = 6,865.54/x
  3. Step 3: Cross multiply
    12,170.83x = 16,793.83 × 6,865.54
  4. Step 4: Simplify right side
    12,170.83x = 115,298,711.62
  5. Step 5: Solve for x
    x = 115,298,711.62/12,170.83
  6. Step 6: Final answer
    x = 9,473.36

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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.