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Finding the Fourth Proportional to 11,694.83, 17,544.98 and 7,998.80

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Solution

The fourth proportional to 11,694.83, 17,544.98 and 7,998.80 is: 12,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.83 : 17,544.98 = 7,998.80 : x
  2. Step 2: Convert to fraction form
    11,694.83/17,544.98 = 7,998.80/x
  3. Step 3: Cross multiply
    11,694.83x = 17,544.98 × 7,998.80
  4. Step 4: Simplify right side
    11,694.83x = 140,338,806.02
  5. Step 5: Solve for x
    x = 140,338,806.02/11,694.83
  6. Step 6: Final answer
    x = 12,000.07

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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.