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Finding the Fourth Proportional to 10,919.50, 16,379.25 and 2,711.50

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Solution

The fourth proportional to 10,919.50, 16,379.25 and 2,711.50 is: 4,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.50 : 16,379.25 = 2,711.50 : x
  2. Step 2: Convert to fraction form
    10,919.50/16,379.25 = 2,711.50/x
  3. Step 3: Cross multiply
    10,919.50x = 16,379.25 × 2,711.50
  4. Step 4: Simplify right side
    10,919.50x = 44,412,336.38
  5. Step 5: Solve for x
    x = 44,412,336.38/10,919.50
  6. Step 6: Final answer
    x = 4,067.25

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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.