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Finding the Fourth Proportional to 16,007.80, 23,998.90 and 6,766.20

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Solution

The fourth proportional to 16,007.80, 23,998.90 and 6,766.20 is: 10,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.80 : 23,998.90 = 6,766.20 : x
  2. Step 2: Convert to fraction form
    16,007.80/23,998.90 = 6,766.20/x
  3. Step 3: Cross multiply
    16,007.80x = 23,998.90 × 6,766.20
  4. Step 4: Simplify right side
    16,007.80x = 162,381,357.18
  5. Step 5: Solve for x
    x = 162,381,357.18/16,007.80
  6. Step 6: Final answer
    x = 10,143.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.