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Finding the Fourth Proportional to 22,463.84, 33,702.24 and 6,883.76

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Solution

The fourth proportional to 22,463.84, 33,702.24 and 6,883.76 is: 10,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.84 : 33,702.24 = 6,883.76 : x
  2. Step 2: Convert to fraction form
    22,463.84/33,702.24 = 6,883.76/x
  3. Step 3: Cross multiply
    22,463.84x = 33,702.24 × 6,883.76
  4. Step 4: Simplify right side
    22,463.84x = 231,998,131.62
  5. Step 5: Solve for x
    x = 231,998,131.62/22,463.84
  6. Step 6: Final answer
    x = 10,327.63

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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.