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Finding the Fourth Proportional to 16,546.69, 22,834.53 and 8,993.08

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Solution

The fourth proportional to 16,546.69, 22,834.53 and 8,993.08 is: 12,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.69 : 22,834.53 = 8,993.08 : x
  2. Step 2: Convert to fraction form
    16,546.69/22,834.53 = 8,993.08/x
  3. Step 3: Cross multiply
    16,546.69x = 22,834.53 × 8,993.08
  4. Step 4: Simplify right side
    16,546.69x = 205,352,755.05
  5. Step 5: Solve for x
    x = 205,352,755.05/16,546.69
  6. Step 6: Final answer
    x = 12,410.50

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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.