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Finding the Fourth Proportional to 11,198.96, 16,776.54 and 8,589.14

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Solution

The fourth proportional to 11,198.96, 16,776.54 and 8,589.14 is: 12,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.96 : 16,776.54 = 8,589.14 : x
  2. Step 2: Convert to fraction form
    11,198.96/16,776.54 = 8,589.14/x
  3. Step 3: Cross multiply
    11,198.96x = 16,776.54 × 8,589.14
  4. Step 4: Simplify right side
    11,198.96x = 144,096,050.78
  5. Step 5: Solve for x
    x = 144,096,050.78/11,198.96
  6. Step 6: Final answer
    x = 12,866.91

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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.