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Finding the Fourth Proportional to 11,993.36, 17,989.96 and 9,224.96

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Solution

The fourth proportional to 11,993.36, 17,989.96 and 9,224.96 is: 13,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.36 : 17,989.96 = 9,224.96 : x
  2. Step 2: Convert to fraction form
    11,993.36/17,989.96 = 9,224.96/x
  3. Step 3: Cross multiply
    11,993.36x = 17,989.96 × 9,224.96
  4. Step 4: Simplify right side
    11,993.36x = 165,956,661.40
  5. Step 5: Solve for x
    x = 165,956,661.40/11,993.36
  6. Step 6: Final answer
    x = 13,837.38

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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.