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Finding the Fourth Proportional to 6,238.68, 9,355.16 and 2,952.64

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Solution

The fourth proportional to 6,238.68, 9,355.16 and 2,952.64 is: 4,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.68 : 9,355.16 = 2,952.64 : x
  2. Step 2: Convert to fraction form
    6,238.68/9,355.16 = 2,952.64/x
  3. Step 3: Cross multiply
    6,238.68x = 9,355.16 × 2,952.64
  4. Step 4: Simplify right side
    6,238.68x = 27,622,419.62
  5. Step 5: Solve for x
    x = 27,622,419.62/6,238.68
  6. Step 6: Final answer
    x = 4,427.61

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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.