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Finding the Fourth Proportional to 5,993.44, 8,976.24 and 5,785.80

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Solution

The fourth proportional to 5,993.44, 8,976.24 and 5,785.80 is: 8,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.44 : 8,976.24 = 5,785.80 : x
  2. Step 2: Convert to fraction form
    5,993.44/8,976.24 = 5,785.80/x
  3. Step 3: Cross multiply
    5,993.44x = 8,976.24 × 5,785.80
  4. Step 4: Simplify right side
    5,993.44x = 51,934,729.39
  5. Step 5: Solve for x
    x = 51,934,729.39/5,993.44
  6. Step 6: Final answer
    x = 8,665.26

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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.