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Finding the Fourth Proportional to 22,471.77, 33,707.66 and 7,680.82

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Solution

The fourth proportional to 22,471.77, 33,707.66 and 7,680.82 is: 11,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.77 : 33,707.66 = 7,680.82 : x
  2. Step 2: Convert to fraction form
    22,471.77/33,707.66 = 7,680.82/x
  3. Step 3: Cross multiply
    22,471.77x = 33,707.66 × 7,680.82
  4. Step 4: Simplify right side
    22,471.77x = 258,902,469.08
  5. Step 5: Solve for x
    x = 258,902,469.08/22,471.77
  6. Step 6: Final answer
    x = 11,521.23

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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.