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Finding the Fourth Proportional to 6,093.77, 9,140.72 and 2,198.21

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Solution

The fourth proportional to 6,093.77, 9,140.72 and 2,198.21 is: 3,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.77 : 9,140.72 = 2,198.21 : x
  2. Step 2: Convert to fraction form
    6,093.77/9,140.72 = 2,198.21/x
  3. Step 3: Cross multiply
    6,093.77x = 9,140.72 × 2,198.21
  4. Step 4: Simplify right side
    6,093.77x = 20,093,165.42
  5. Step 5: Solve for x
    x = 20,093,165.42/6,093.77
  6. Step 6: Final answer
    x = 3,297.33

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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.