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Finding the Fourth Proportional to 12,203.70, 16,841.20 and 6,614.70

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Solution

The fourth proportional to 12,203.70, 16,841.20 and 6,614.70 is: 9,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.70 : 16,841.20 = 6,614.70 : x
  2. Step 2: Convert to fraction form
    12,203.70/16,841.20 = 6,614.70/x
  3. Step 3: Cross multiply
    12,203.70x = 16,841.20 × 6,614.70
  4. Step 4: Simplify right side
    12,203.70x = 111,399,452.57
  5. Step 5: Solve for x
    x = 111,399,452.57/12,203.70
  6. Step 6: Final answer
    x = 9,128.33

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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.