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Finding the Fourth Proportional to 6,309.87, 9,450.22 and 6,091.17

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Solution

The fourth proportional to 6,309.87, 9,450.22 and 6,091.17 is: 9,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.87 : 9,450.22 = 6,091.17 : x
  2. Step 2: Convert to fraction form
    6,309.87/9,450.22 = 6,091.17/x
  3. Step 3: Cross multiply
    6,309.87x = 9,450.22 × 6,091.17
  4. Step 4: Simplify right side
    6,309.87x = 57,562,896.56
  5. Step 5: Solve for x
    x = 57,562,896.56/6,309.87
  6. Step 6: Final answer
    x = 9,122.68

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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.