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Finding the Fourth Proportional to 13,789.80, 20,684.70 and 5,024.80

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Solution

The fourth proportional to 13,789.80, 20,684.70 and 5,024.80 is: 7,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.80 : 20,684.70 = 5,024.80 : x
  2. Step 2: Convert to fraction form
    13,789.80/20,684.70 = 5,024.80/x
  3. Step 3: Cross multiply
    13,789.80x = 20,684.70 × 5,024.80
  4. Step 4: Simplify right side
    13,789.80x = 103,936,480.56
  5. Step 5: Solve for x
    x = 103,936,480.56/13,789.80
  6. Step 6: Final answer
    x = 7,537.20

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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.