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Finding the Fourth Proportional to 11,198.80, 16,814.40 and 8,444.80

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Solution

The fourth proportional to 11,198.80, 16,814.40 and 8,444.80 is: 12,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.80 : 16,814.40 = 8,444.80 : x
  2. Step 2: Convert to fraction form
    11,198.80/16,814.40 = 8,444.80/x
  3. Step 3: Cross multiply
    11,198.80x = 16,814.40 × 8,444.80
  4. Step 4: Simplify right side
    11,198.80x = 141,994,245.12
  5. Step 5: Solve for x
    x = 141,994,245.12/11,198.80
  6. Step 6: Final answer
    x = 12,679.42

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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.