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Finding the Fourth Proportional to 22,469.84, 33,711.24 and 6,889.76

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Solution

The fourth proportional to 22,469.84, 33,711.24 and 6,889.76 is: 10,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.84 : 33,711.24 = 6,889.76 : x
  2. Step 2: Convert to fraction form
    22,469.84/33,711.24 = 6,889.76/x
  3. Step 3: Cross multiply
    22,469.84x = 33,711.24 × 6,889.76
  4. Step 4: Simplify right side
    22,469.84x = 232,262,352.90
  5. Step 5: Solve for x
    x = 232,262,352.90/22,469.84
  6. Step 6: Final answer
    x = 10,336.63

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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.