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Finding the Fourth Proportional to 6,369.68, 9,551.64 and 3,738.44

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Solution

The fourth proportional to 6,369.68, 9,551.64 and 3,738.44 is: 5,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.68 : 9,551.64 = 3,738.44 : x
  2. Step 2: Convert to fraction form
    6,369.68/9,551.64 = 3,738.44/x
  3. Step 3: Cross multiply
    6,369.68x = 9,551.64 × 3,738.44
  4. Step 4: Simplify right side
    6,369.68x = 35,708,233.04
  5. Step 5: Solve for x
    x = 35,708,233.04/6,369.68
  6. Step 6: Final answer
    x = 5,605.97

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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.