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Finding the Fourth Proportional to 16,524.97, 22,804.46 and 8,971.30

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Solution

The fourth proportional to 16,524.97, 22,804.46 and 8,971.30 is: 12,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.97 : 22,804.46 = 8,971.30 : x
  2. Step 2: Convert to fraction form
    16,524.97/22,804.46 = 8,971.30/x
  3. Step 3: Cross multiply
    16,524.97x = 22,804.46 × 8,971.30
  4. Step 4: Simplify right side
    16,524.97x = 204,585,652.00
  5. Step 5: Solve for x
    x = 204,585,652.00/16,524.97
  6. Step 6: Final answer
    x = 12,380.39

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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.