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Finding the Fourth Proportional to 22,658.44, 33,938.36 and 10,947

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Solution

The fourth proportional to 22,658.44, 33,938.36 and 10,947 is: 16,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.44 : 33,938.36 = 10,947 : x
  2. Step 2: Convert to fraction form
    22,658.44/33,938.36 = 10,947/x
  3. Step 3: Cross multiply
    22,658.44x = 33,938.36 × 10,947
  4. Step 4: Simplify right side
    22,658.44x = 371,523,226.92
  5. Step 5: Solve for x
    x = 371,523,226.92/22,658.44
  6. Step 6: Final answer
    x = 16,396.68

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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.