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Finding the Fourth Proportional to 6,997.28, 10,497.74 and 3,100.76

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Solution

The fourth proportional to 6,997.28, 10,497.74 and 3,100.76 is: 4,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.28 : 10,497.74 = 3,100.76 : x
  2. Step 2: Convert to fraction form
    6,997.28/10,497.74 = 3,100.76/x
  3. Step 3: Cross multiply
    6,997.28x = 10,497.74 × 3,100.76
  4. Step 4: Simplify right side
    6,997.28x = 32,550,972.28
  5. Step 5: Solve for x
    x = 32,550,972.28/6,997.28
  6. Step 6: Final answer
    x = 4,651.95

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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.