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Finding the Fourth Proportional to 16,265.75, 22,446.77 and 8,813.75

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Solution

The fourth proportional to 16,265.75, 22,446.77 and 8,813.75 is: 12,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.75 : 22,446.77 = 8,813.75 : x
  2. Step 2: Convert to fraction form
    16,265.75/22,446.77 = 8,813.75/x
  3. Step 3: Cross multiply
    16,265.75x = 22,446.77 × 8,813.75
  4. Step 4: Simplify right side
    16,265.75x = 197,840,175.02
  5. Step 5: Solve for x
    x = 197,840,175.02/16,265.75
  6. Step 6: Final answer
    x = 12,162.99

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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.