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Finding the Fourth Proportional to 18,461.80, 27,694.14 and 9,106.84

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Solution

The fourth proportional to 18,461.80, 27,694.14 and 9,106.84 is: 13,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.80 : 27,694.14 = 9,106.84 : x
  2. Step 2: Convert to fraction form
    18,461.80/27,694.14 = 9,106.84/x
  3. Step 3: Cross multiply
    18,461.80x = 27,694.14 × 9,106.84
  4. Step 4: Simplify right side
    18,461.80x = 252,206,101.92
  5. Step 5: Solve for x
    x = 252,206,101.92/18,461.80
  6. Step 6: Final answer
    x = 13,660.97

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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.