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Finding the Fourth Proportional to 6,855.60, 10,284.12 and 2,238

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Solution

The fourth proportional to 6,855.60, 10,284.12 and 2,238 is: 3,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.60 : 10,284.12 = 2,238 : x
  2. Step 2: Convert to fraction form
    6,855.60/10,284.12 = 2,238/x
  3. Step 3: Cross multiply
    6,855.60x = 10,284.12 × 2,238
  4. Step 4: Simplify right side
    6,855.60x = 23,015,860.56
  5. Step 5: Solve for x
    x = 23,015,860.56/6,855.60
  6. Step 6: Final answer
    x = 3,357.24

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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.