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Finding the Fourth Proportional to 33,838.28, 50,757.48 and 9,214.28

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Solution

The fourth proportional to 33,838.28, 50,757.48 and 9,214.28 is: 13,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.28 : 50,757.48 = 9,214.28 : x
  2. Step 2: Convert to fraction form
    33,838.28/50,757.48 = 9,214.28/x
  3. Step 3: Cross multiply
    33,838.28x = 50,757.48 × 9,214.28
  4. Step 4: Simplify right side
    33,838.28x = 467,693,632.81
  5. Step 5: Solve for x
    x = 467,693,632.81/33,838.28
  6. Step 6: Final answer
    x = 13,821.44

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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.