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Finding the Fourth Proportional to 11,898, 16,418.59 and 6,519.44

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Solution

The fourth proportional to 11,898, 16,418.59 and 6,519.44 is: 8,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898 : 16,418.59 = 6,519.44 : x
  2. Step 2: Convert to fraction form
    11,898/16,418.59 = 6,519.44/x
  3. Step 3: Cross multiply
    11,898x = 16,418.59 × 6,519.44
  4. Step 4: Simplify right side
    11,898x = 107,040,037.14
  5. Step 5: Solve for x
    x = 107,040,037.14/11,898
  6. Step 6: Final answer
    x = 8,996.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.