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Finding the Fourth Proportional to 22,982.94, 34,480.62 and 8,193.42

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Solution

The fourth proportional to 22,982.94, 34,480.62 and 8,193.42 is: 12,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.94 : 34,480.62 = 8,193.42 : x
  2. Step 2: Convert to fraction form
    22,982.94/34,480.62 = 8,193.42/x
  3. Step 3: Cross multiply
    22,982.94x = 34,480.62 × 8,193.42
  4. Step 4: Simplify right side
    22,982.94x = 282,514,201.52
  5. Step 5: Solve for x
    x = 282,514,201.52/22,982.94
  6. Step 6: Final answer
    x = 12,292.34

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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.