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Finding the Fourth Proportional to 6,093.99, 9,140.98 and 2,198.39

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Solution

The fourth proportional to 6,093.99, 9,140.98 and 2,198.39 is: 3,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.99 : 9,140.98 = 2,198.39 : x
  2. Step 2: Convert to fraction form
    6,093.99/9,140.98 = 2,198.39/x
  3. Step 3: Cross multiply
    6,093.99x = 9,140.98 × 2,198.39
  4. Step 4: Simplify right side
    6,093.99x = 20,095,439.02
  5. Step 5: Solve for x
    x = 20,095,439.02/6,093.99
  6. Step 6: Final answer
    x = 3,297.58

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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.