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Finding the Fourth Proportional to 11,589.22, 15,993.07 and 6,283.90

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Solution

The fourth proportional to 11,589.22, 15,993.07 and 6,283.90 is: 8,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.22 : 15,993.07 = 6,283.90 : x
  2. Step 2: Convert to fraction form
    11,589.22/15,993.07 = 6,283.90/x
  3. Step 3: Cross multiply
    11,589.22x = 15,993.07 × 6,283.90
  4. Step 4: Simplify right side
    11,589.22x = 100,498,852.57
  5. Step 5: Solve for x
    x = 100,498,852.57/11,589.22
  6. Step 6: Final answer
    x = 8,671.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.