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Finding the Fourth Proportional to 6,297.80, 9,446.14 and 2,137.71

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Solution

The fourth proportional to 6,297.80, 9,446.14 and 2,137.71 is: 3,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.80 : 9,446.14 = 2,137.71 : x
  2. Step 2: Convert to fraction form
    6,297.80/9,446.14 = 2,137.71/x
  3. Step 3: Cross multiply
    6,297.80x = 9,446.14 × 2,137.71
  4. Step 4: Simplify right side
    6,297.80x = 20,193,107.94
  5. Step 5: Solve for x
    x = 20,193,107.94/6,297.80
  6. Step 6: Final answer
    x = 3,206.37

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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.