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Finding the Fourth Proportional to 6,906.42, 10,356.42 and 2,225.56

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Solution

The fourth proportional to 6,906.42, 10,356.42 and 2,225.56 is: 3,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.42 : 10,356.42 = 2,225.56 : x
  2. Step 2: Convert to fraction form
    6,906.42/10,356.42 = 2,225.56/x
  3. Step 3: Cross multiply
    6,906.42x = 10,356.42 × 2,225.56
  4. Step 4: Simplify right side
    6,906.42x = 23,048,834.10
  5. Step 5: Solve for x
    x = 23,048,834.10/6,906.42
  6. Step 6: Final answer
    x = 3,337.31

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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.