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Finding the Fourth Proportional to 9,194.46, 13,786.46 and 8,410.78

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Solution

The fourth proportional to 9,194.46, 13,786.46 and 8,410.78 is: 12,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.46 : 13,786.46 = 8,410.78 : x
  2. Step 2: Convert to fraction form
    9,194.46/13,786.46 = 8,410.78/x
  3. Step 3: Cross multiply
    9,194.46x = 13,786.46 × 8,410.78
  4. Step 4: Simplify right side
    9,194.46x = 115,954,882.04
  5. Step 5: Solve for x
    x = 115,954,882.04/9,194.46
  6. Step 6: Final answer
    x = 12,611.39

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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.