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Finding the Fourth Proportional to 13,963.40, 20,966.70 and 8,131.40

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Solution

The fourth proportional to 13,963.40, 20,966.70 and 8,131.40 is: 12,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.40 : 20,966.70 = 8,131.40 : x
  2. Step 2: Convert to fraction form
    13,963.40/20,966.70 = 8,131.40/x
  3. Step 3: Cross multiply
    13,963.40x = 20,966.70 × 8,131.40
  4. Step 4: Simplify right side
    13,963.40x = 170,488,624.38
  5. Step 5: Solve for x
    x = 170,488,624.38/13,963.40
  6. Step 6: Final answer
    x = 12,209.68

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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.