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Finding the Fourth Proportional to 6,697, 10,046.06 and 2,080

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Solution

The fourth proportional to 6,697, 10,046.06 and 2,080 is: 3,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697 : 10,046.06 = 2,080 : x
  2. Step 2: Convert to fraction form
    6,697/10,046.06 = 2,080/x
  3. Step 3: Cross multiply
    6,697x = 10,046.06 × 2,080
  4. Step 4: Simplify right side
    6,697x = 20,895,804.80
  5. Step 5: Solve for x
    x = 20,895,804.80/6,697
  6. Step 6: Final answer
    x = 3,120.17

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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.