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Finding the Fourth Proportional to 22,471, 33,706.38 and 5,831.02

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Solution

The fourth proportional to 22,471, 33,706.38 and 5,831.02 is: 8,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471 : 33,706.38 = 5,831.02 : x
  2. Step 2: Convert to fraction form
    22,471/33,706.38 = 5,831.02/x
  3. Step 3: Cross multiply
    22,471x = 33,706.38 × 5,831.02
  4. Step 4: Simplify right side
    22,471x = 196,542,575.91
  5. Step 5: Solve for x
    x = 196,542,575.91/22,471
  6. Step 6: Final answer
    x = 8,746.50

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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.