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Finding the Fourth Proportional to 12,193.43, 16,816.38 and 7,942.88

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Solution

The fourth proportional to 12,193.43, 16,816.38 and 7,942.88 is: 10,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.43 : 16,816.38 = 7,942.88 : x
  2. Step 2: Convert to fraction form
    12,193.43/16,816.38 = 7,942.88/x
  3. Step 3: Cross multiply
    12,193.43x = 16,816.38 × 7,942.88
  4. Step 4: Simplify right side
    12,193.43x = 133,570,404.29
  5. Step 5: Solve for x
    x = 133,570,404.29/12,193.43
  6. Step 6: Final answer
    x = 10,954.30

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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.