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Finding the Fourth Proportional to 22,504.49, 33,757.28 and 6,922.25

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Solution

The fourth proportional to 22,504.49, 33,757.28 and 6,922.25 is: 10,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.49 : 33,757.28 = 6,922.25 : x
  2. Step 2: Convert to fraction form
    22,504.49/33,757.28 = 6,922.25/x
  3. Step 3: Cross multiply
    22,504.49x = 33,757.28 × 6,922.25
  4. Step 4: Simplify right side
    22,504.49x = 233,676,331.48
  5. Step 5: Solve for x
    x = 233,676,331.48/22,504.49
  6. Step 6: Final answer
    x = 10,383.54

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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.