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Finding the Fourth Proportional to 6,697.48, 10,046.46 and 2,796.52

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Solution

The fourth proportional to 6,697.48, 10,046.46 and 2,796.52 is: 4,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.48 : 10,046.46 = 2,796.52 : x
  2. Step 2: Convert to fraction form
    6,697.48/10,046.46 = 2,796.52/x
  3. Step 3: Cross multiply
    6,697.48x = 10,046.46 × 2,796.52
  4. Step 4: Simplify right side
    6,697.48x = 28,095,126.32
  5. Step 5: Solve for x
    x = 28,095,126.32/6,697.48
  6. Step 6: Final answer
    x = 4,194.88

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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.