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Finding the Fourth Proportional to 22,473.25, 33,709.60 and 5,831.80

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Solution

The fourth proportional to 22,473.25, 33,709.60 and 5,831.80 is: 8,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.25 : 33,709.60 = 5,831.80 : x
  2. Step 2: Convert to fraction form
    22,473.25/33,709.60 = 5,831.80/x
  3. Step 3: Cross multiply
    22,473.25x = 33,709.60 × 5,831.80
  4. Step 4: Simplify right side
    22,473.25x = 196,587,645.28
  5. Step 5: Solve for x
    x = 196,587,645.28/22,473.25
  6. Step 6: Final answer
    x = 8,747.63

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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.