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Finding the Fourth Proportional to 16,546.74, 22,834.89 and 8,993.49

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Solution

The fourth proportional to 16,546.74, 22,834.89 and 8,993.49 is: 12,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.74 : 22,834.89 = 8,993.49 : x
  2. Step 2: Convert to fraction form
    16,546.74/22,834.89 = 8,993.49/x
  3. Step 3: Cross multiply
    16,546.74x = 22,834.89 × 8,993.49
  4. Step 4: Simplify right side
    16,546.74x = 205,365,354.87
  5. Step 5: Solve for x
    x = 205,365,354.87/16,546.74
  6. Step 6: Final answer
    x = 12,411.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.