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Finding the Fourth Proportional to 13,504.70, 20,257.17 and 4,144.70

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Solution

The fourth proportional to 13,504.70, 20,257.17 and 4,144.70 is: 6,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.70 : 20,257.17 = 4,144.70 : x
  2. Step 2: Convert to fraction form
    13,504.70/20,257.17 = 4,144.70/x
  3. Step 3: Cross multiply
    13,504.70x = 20,257.17 × 4,144.70
  4. Step 4: Simplify right side
    13,504.70x = 83,959,892.50
  5. Step 5: Solve for x
    x = 83,959,892.50/13,504.70
  6. Step 6: Final answer
    x = 6,217.09

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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.