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Finding the Fourth Proportional to 6,849.56, 10,274.22 and 2,232.56

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Solution

The fourth proportional to 6,849.56, 10,274.22 and 2,232.56 is: 3,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.56 : 10,274.22 = 2,232.56 : x
  2. Step 2: Convert to fraction form
    6,849.56/10,274.22 = 2,232.56/x
  3. Step 3: Cross multiply
    6,849.56x = 10,274.22 × 2,232.56
  4. Step 4: Simplify right side
    6,849.56x = 22,937,812.60
  5. Step 5: Solve for x
    x = 22,937,812.60/6,849.56
  6. Step 6: Final answer
    x = 3,348.80

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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.