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Finding the Fourth Proportional to 37,224.25, 55,836.78 and 9,522.25

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Solution

The fourth proportional to 37,224.25, 55,836.78 and 9,522.25 is: 14,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224.25 : 55,836.78 = 9,522.25 : x
  2. Step 2: Convert to fraction form
    37,224.25/55,836.78 = 9,522.25/x
  3. Step 3: Cross multiply
    37,224.25x = 55,836.78 × 9,522.25
  4. Step 4: Simplify right side
    37,224.25x = 531,691,778.36
  5. Step 5: Solve for x
    x = 531,691,778.36/37,224.25
  6. Step 6: Final answer
    x = 14,283.48

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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.