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Finding the Fourth Proportional to 6,662, 9,993.48 and 2,558

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Solution

The fourth proportional to 6,662, 9,993.48 and 2,558 is: 3,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662 : 9,993.48 = 2,558 : x
  2. Step 2: Convert to fraction form
    6,662/9,993.48 = 2,558/x
  3. Step 3: Cross multiply
    6,662x = 9,993.48 × 2,558
  4. Step 4: Simplify right side
    6,662x = 25,563,321.84
  5. Step 5: Solve for x
    x = 25,563,321.84/6,662
  6. Step 6: Final answer
    x = 3,837.18

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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.