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Finding the Fourth Proportional to 22,531.40, 33,797.56 and 6,949

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Solution

The fourth proportional to 22,531.40, 33,797.56 and 6,949 is: 10,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.40 : 33,797.56 = 6,949 : x
  2. Step 2: Convert to fraction form
    22,531.40/33,797.56 = 6,949/x
  3. Step 3: Cross multiply
    22,531.40x = 33,797.56 × 6,949
  4. Step 4: Simplify right side
    22,531.40x = 234,859,244.44
  5. Step 5: Solve for x
    x = 234,859,244.44/22,531.40
  6. Step 6: Final answer
    x = 10,423.64

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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.