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Finding the Fourth Proportional to 6,900.97, 10,351.36 and 1,706.85

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Solution

The fourth proportional to 6,900.97, 10,351.36 and 1,706.85 is: 2,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.97 : 10,351.36 = 1,706.85 : x
  2. Step 2: Convert to fraction form
    6,900.97/10,351.36 = 1,706.85/x
  3. Step 3: Cross multiply
    6,900.97x = 10,351.36 × 1,706.85
  4. Step 4: Simplify right side
    6,900.97x = 17,668,218.82
  5. Step 5: Solve for x
    x = 17,668,218.82/6,900.97
  6. Step 6: Final answer
    x = 2,560.25

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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.