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Finding the Fourth Proportional to 13,874.20, 20,813.10 and 6,857.80

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Solution

The fourth proportional to 13,874.20, 20,813.10 and 6,857.80 is: 10,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.20 : 20,813.10 = 6,857.80 : x
  2. Step 2: Convert to fraction form
    13,874.20/20,813.10 = 6,857.80/x
  3. Step 3: Cross multiply
    13,874.20x = 20,813.10 × 6,857.80
  4. Step 4: Simplify right side
    13,874.20x = 142,732,077.18
  5. Step 5: Solve for x
    x = 142,732,077.18/13,874.20
  6. Step 6: Final answer
    x = 10,287.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.