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Finding the Fourth Proportional to 11,105.98, 16,658.97 and 3,314.54

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Solution

The fourth proportional to 11,105.98, 16,658.97 and 3,314.54 is: 4,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.98 : 16,658.97 = 3,314.54 : x
  2. Step 2: Convert to fraction form
    11,105.98/16,658.97 = 3,314.54/x
  3. Step 3: Cross multiply
    11,105.98x = 16,658.97 × 3,314.54
  4. Step 4: Simplify right side
    11,105.98x = 55,216,822.42
  5. Step 5: Solve for x
    x = 55,216,822.42/11,105.98
  6. Step 6: Final answer
    x = 4,971.81

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Similar ratio
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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.