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Finding the Fourth Proportional to 6,697.68, 10,047.90 and 2,314.56

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Solution

The fourth proportional to 6,697.68, 10,047.90 and 2,314.56 is: 3,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.68 : 10,047.90 = 2,314.56 : x
  2. Step 2: Convert to fraction form
    6,697.68/10,047.90 = 2,314.56/x
  3. Step 3: Cross multiply
    6,697.68x = 10,047.90 × 2,314.56
  4. Step 4: Simplify right side
    6,697.68x = 23,256,467.42
  5. Step 5: Solve for x
    x = 23,256,467.42/6,697.68
  6. Step 6: Final answer
    x = 3,472.32

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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.