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Finding the Fourth Proportional to 13,846.38, 20,780.41 and 9,659.15

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Solution

The fourth proportional to 13,846.38, 20,780.41 and 9,659.15 is: 14,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.38 : 20,780.41 = 9,659.15 : x
  2. Step 2: Convert to fraction form
    13,846.38/20,780.41 = 9,659.15/x
  3. Step 3: Cross multiply
    13,846.38x = 20,780.41 × 9,659.15
  4. Step 4: Simplify right side
    13,846.38x = 200,720,993.35
  5. Step 5: Solve for x
    x = 200,720,993.35/13,846.38
  6. Step 6: Final answer
    x = 14,496.28

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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.