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Finding the Fourth Proportional to 11,993.67, 16,431.44 and 11,544.84

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Solution

The fourth proportional to 11,993.67, 16,431.44 and 11,544.84 is: 15,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.67 : 16,431.44 = 11,544.84 : x
  2. Step 2: Convert to fraction form
    11,993.67/16,431.44 = 11,544.84/x
  3. Step 3: Cross multiply
    11,993.67x = 16,431.44 × 11,544.84
  4. Step 4: Simplify right side
    11,993.67x = 189,698,288.05
  5. Step 5: Solve for x
    x = 189,698,288.05/11,993.67
  6. Step 6: Final answer
    x = 15,816.53

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.