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Finding the Fourth Proportional to 22,546.90, 33,824.60 and 6,960.88

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Solution

The fourth proportional to 22,546.90, 33,824.60 and 6,960.88 is: 10,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.90 : 33,824.60 = 6,960.88 : x
  2. Step 2: Convert to fraction form
    22,546.90/33,824.60 = 6,960.88/x
  3. Step 3: Cross multiply
    22,546.90x = 33,824.60 × 6,960.88
  4. Step 4: Simplify right side
    22,546.90x = 235,448,981.65
  5. Step 5: Solve for x
    x = 235,448,981.65/22,546.90
  6. Step 6: Final answer
    x = 10,442.63

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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.