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Finding the Fourth Proportional to 20,540.91, 30,797.46 and 8,053.14

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Solution

The fourth proportional to 20,540.91, 30,797.46 and 8,053.14 is: 12,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.91 : 30,797.46 = 8,053.14 : x
  2. Step 2: Convert to fraction form
    20,540.91/30,797.46 = 8,053.14/x
  3. Step 3: Cross multiply
    20,540.91x = 30,797.46 × 8,053.14
  4. Step 4: Simplify right side
    20,540.91x = 248,016,257.02
  5. Step 5: Solve for x
    x = 248,016,257.02/20,540.91
  6. Step 6: Final answer
    x = 12,074.26

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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.