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Finding the Fourth Proportional to 5,993.87, 8,254.31 and 5,975.64

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Solution

The fourth proportional to 5,993.87, 8,254.31 and 5,975.64 is: 8,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.87 : 8,254.31 = 5,975.64 : x
  2. Step 2: Convert to fraction form
    5,993.87/8,254.31 = 5,975.64/x
  3. Step 3: Cross multiply
    5,993.87x = 8,254.31 × 5,975.64
  4. Step 4: Simplify right side
    5,993.87x = 49,324,755.13
  5. Step 5: Solve for x
    x = 49,324,755.13/5,993.87
  6. Step 6: Final answer
    x = 8,229.21

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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.