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Finding the Fourth Proportional to 6,896.44, 10,344.52 and 1,702.36

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Solution

The fourth proportional to 6,896.44, 10,344.52 and 1,702.36 is: 2,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.44 : 10,344.52 = 1,702.36 : x
  2. Step 2: Convert to fraction form
    6,896.44/10,344.52 = 1,702.36/x
  3. Step 3: Cross multiply
    6,896.44x = 10,344.52 × 1,702.36
  4. Step 4: Simplify right side
    6,896.44x = 17,610,097.07
  5. Step 5: Solve for x
    x = 17,610,097.07/6,896.44
  6. Step 6: Final answer
    x = 2,553.51

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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.