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Finding the Fourth Proportional to 22,472.75, 33,708.85 and 5,831.30

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Solution

The fourth proportional to 22,472.75, 33,708.85 and 5,831.30 is: 8,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.75 : 33,708.85 = 5,831.30 : x
  2. Step 2: Convert to fraction form
    22,472.75/33,708.85 = 5,831.30/x
  3. Step 3: Cross multiply
    22,472.75x = 33,708.85 × 5,831.30
  4. Step 4: Simplify right side
    22,472.75x = 196,566,233.88
  5. Step 5: Solve for x
    x = 196,566,233.88/22,472.75
  6. Step 6: Final answer
    x = 8,746.87

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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.