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Finding the Fourth Proportional to 22,546.65, 33,824.22 and 6,960.63

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Solution

The fourth proportional to 22,546.65, 33,824.22 and 6,960.63 is: 10,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.65 : 33,824.22 = 6,960.63 : x
  2. Step 2: Convert to fraction form
    22,546.65/33,824.22 = 6,960.63/x
  3. Step 3: Cross multiply
    22,546.65x = 33,824.22 × 6,960.63
  4. Step 4: Simplify right side
    22,546.65x = 235,437,880.46
  5. Step 5: Solve for x
    x = 235,437,880.46/22,546.65
  6. Step 6: Final answer
    x = 10,442.26

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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.