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Finding the Fourth Proportional to 11,644.81, 17,474.22 and 4,249.92

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Solution

The fourth proportional to 11,644.81, 17,474.22 and 4,249.92 is: 6,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.81 : 17,474.22 = 4,249.92 : x
  2. Step 2: Convert to fraction form
    11,644.81/17,474.22 = 4,249.92/x
  3. Step 3: Cross multiply
    11,644.81x = 17,474.22 × 4,249.92
  4. Step 4: Simplify right side
    11,644.81x = 74,264,037.06
  5. Step 5: Solve for x
    x = 74,264,037.06/11,644.81
  6. Step 6: Final answer
    x = 6,377.44

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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.