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Finding the Fourth Proportional to 22,777.68, 34,162.92 and 7,191.84

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Solution

The fourth proportional to 22,777.68, 34,162.92 and 7,191.84 is: 10,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.68 : 34,162.92 = 7,191.84 : x
  2. Step 2: Convert to fraction form
    22,777.68/34,162.92 = 7,191.84/x
  3. Step 3: Cross multiply
    22,777.68x = 34,162.92 × 7,191.84
  4. Step 4: Simplify right side
    22,777.68x = 245,694,254.57
  5. Step 5: Solve for x
    x = 245,694,254.57/22,777.68
  6. Step 6: Final answer
    x = 10,786.62

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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.