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Finding the Fourth Proportional to 16,546.30, 22,834.02 and 8,992.63

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Solution

The fourth proportional to 16,546.30, 22,834.02 and 8,992.63 is: 12,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.30 : 22,834.02 = 8,992.63 : x
  2. Step 2: Convert to fraction form
    16,546.30/22,834.02 = 8,992.63/x
  3. Step 3: Cross multiply
    16,546.30x = 22,834.02 × 8,992.63
  4. Step 4: Simplify right side
    16,546.30x = 205,337,893.27
  5. Step 5: Solve for x
    x = 205,337,893.27/16,546.30
  6. Step 6: Final answer
    x = 12,409.90

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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.