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Finding the Fourth Proportional to 22,057.72, 33,067.14 and 8,197

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Solution

The fourth proportional to 22,057.72, 33,067.14 and 8,197 is: 12,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.72 : 33,067.14 = 8,197 : x
  2. Step 2: Convert to fraction form
    22,057.72/33,067.14 = 8,197/x
  3. Step 3: Cross multiply
    22,057.72x = 33,067.14 × 8,197
  4. Step 4: Simplify right side
    22,057.72x = 271,051,346.58
  5. Step 5: Solve for x
    x = 271,051,346.58/22,057.72
  6. Step 6: Final answer
    x = 12,288.28

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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.