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Finding the Fourth Proportional to 6,151.99, 9,227.10 and 1,991.46

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Solution

The fourth proportional to 6,151.99, 9,227.10 and 1,991.46 is: 2,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.99 : 9,227.10 = 1,991.46 : x
  2. Step 2: Convert to fraction form
    6,151.99/9,227.10 = 1,991.46/x
  3. Step 3: Cross multiply
    6,151.99x = 9,227.10 × 1,991.46
  4. Step 4: Simplify right side
    6,151.99x = 18,375,400.57
  5. Step 5: Solve for x
    x = 18,375,400.57/6,151.99
  6. Step 6: Final answer
    x = 2,986.90

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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.