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Finding the Fourth Proportional to 11,993.12, 17,989.07 and 4,201.32

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Solution

The fourth proportional to 11,993.12, 17,989.07 and 4,201.32 is: 6,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.12 : 17,989.07 = 4,201.32 : x
  2. Step 2: Convert to fraction form
    11,993.12/17,989.07 = 4,201.32/x
  3. Step 3: Cross multiply
    11,993.12x = 17,989.07 × 4,201.32
  4. Step 4: Simplify right side
    11,993.12x = 75,577,818.57
  5. Step 5: Solve for x
    x = 75,577,818.57/11,993.12
  6. Step 6: Final answer
    x = 6,301.77

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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.