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Finding the Fourth Proportional to 22,471.26, 33,706.90 and 7,680.32

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Solution

The fourth proportional to 22,471.26, 33,706.90 and 7,680.32 is: 11,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.26 : 33,706.90 = 7,680.32 : x
  2. Step 2: Convert to fraction form
    22,471.26/33,706.90 = 7,680.32/x
  3. Step 3: Cross multiply
    22,471.26x = 33,706.90 × 7,680.32
  4. Step 4: Simplify right side
    22,471.26x = 258,879,778.21
  5. Step 5: Solve for x
    x = 258,879,778.21/22,471.26
  6. Step 6: Final answer
    x = 11,520.48

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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.