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Finding the Fourth Proportional to 6,896.64, 10,345.02 and 1,702.56

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Solution

The fourth proportional to 6,896.64, 10,345.02 and 1,702.56 is: 2,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.64 : 10,345.02 = 1,702.56 : x
  2. Step 2: Convert to fraction form
    6,896.64/10,345.02 = 1,702.56/x
  3. Step 3: Cross multiply
    6,896.64x = 10,345.02 × 1,702.56
  4. Step 4: Simplify right side
    6,896.64x = 17,613,017.25
  5. Step 5: Solve for x
    x = 17,613,017.25/6,896.64
  6. Step 6: Final answer
    x = 2,553.85

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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.