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Finding the Fourth Proportional to 22,791.76, 34,191.05 and 7,998.08

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Solution

The fourth proportional to 22,791.76, 34,191.05 and 7,998.08 is: 11,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791.76 : 34,191.05 = 7,998.08 : x
  2. Step 2: Convert to fraction form
    22,791.76/34,191.05 = 7,998.08/x
  3. Step 3: Cross multiply
    22,791.76x = 34,191.05 × 7,998.08
  4. Step 4: Simplify right side
    22,791.76x = 273,462,542.24
  5. Step 5: Solve for x
    x = 273,462,542.24/22,791.76
  6. Step 6: Final answer
    x = 11,998.31

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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.