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Finding the Fourth Proportional to 13,809.97, 20,718.20 and 3,948.98

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Solution

The fourth proportional to 13,809.97, 20,718.20 and 3,948.98 is: 5,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.97 : 20,718.20 = 3,948.98 : x
  2. Step 2: Convert to fraction form
    13,809.97/20,718.20 = 3,948.98/x
  3. Step 3: Cross multiply
    13,809.97x = 20,718.20 × 3,948.98
  4. Step 4: Simplify right side
    13,809.97x = 81,815,757.44
  5. Step 5: Solve for x
    x = 81,815,757.44/13,809.97
  6. Step 6: Final answer
    x = 5,924.40

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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.