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Finding the Fourth Proportional to 6,744.93, 9,309.21 and 4,229.21

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Solution

The fourth proportional to 6,744.93, 9,309.21 and 4,229.21 is: 5,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.93 : 9,309.21 = 4,229.21 : x
  2. Step 2: Convert to fraction form
    6,744.93/9,309.21 = 4,229.21/x
  3. Step 3: Cross multiply
    6,744.93x = 9,309.21 × 4,229.21
  4. Step 4: Simplify right side
    6,744.93x = 39,370,611.44
  5. Step 5: Solve for x
    x = 39,370,611.44/6,744.93
  6. Step 6: Final answer
    x = 5,837.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.