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Finding the Fourth Proportional to 6,309.46, 9,462.48 and 3,843.82

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Solution

The fourth proportional to 6,309.46, 9,462.48 and 3,843.82 is: 5,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.46 : 9,462.48 = 3,843.82 : x
  2. Step 2: Convert to fraction form
    6,309.46/9,462.48 = 3,843.82/x
  3. Step 3: Cross multiply
    6,309.46x = 9,462.48 × 3,843.82
  4. Step 4: Simplify right side
    6,309.46x = 36,372,069.87
  5. Step 5: Solve for x
    x = 36,372,069.87/6,309.46
  6. Step 6: Final answer
    x = 5,764.69

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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.