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Finding the Fourth Proportional to 9,771.77, 13,481.94 and 5,993.12

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Solution

The fourth proportional to 9,771.77, 13,481.94 and 5,993.12 is: 8,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.77 : 13,481.94 = 5,993.12 : x
  2. Step 2: Convert to fraction form
    9,771.77/13,481.94 = 5,993.12/x
  3. Step 3: Cross multiply
    9,771.77x = 13,481.94 × 5,993.12
  4. Step 4: Simplify right side
    9,771.77x = 80,798,940.43
  5. Step 5: Solve for x
    x = 80,798,940.43/9,771.77
  6. Step 6: Final answer
    x = 8,268.61

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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.