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Finding the Fourth Proportional to 6,685.40, 10,028.28 and 2,243

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Solution

The fourth proportional to 6,685.40, 10,028.28 and 2,243 is: 3,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.40 : 10,028.28 = 2,243 : x
  2. Step 2: Convert to fraction form
    6,685.40/10,028.28 = 2,243/x
  3. Step 3: Cross multiply
    6,685.40x = 10,028.28 × 2,243
  4. Step 4: Simplify right side
    6,685.40x = 22,493,432.04
  5. Step 5: Solve for x
    x = 22,493,432.04/6,685.40
  6. Step 6: Final answer
    x = 3,364.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.