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Finding the Fourth Proportional to 6,633.36, 9,949.84 and 1,702.96

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Solution

The fourth proportional to 6,633.36, 9,949.84 and 1,702.96 is: 2,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.36 : 9,949.84 = 1,702.96 : x
  2. Step 2: Convert to fraction form
    6,633.36/9,949.84 = 1,702.96/x
  3. Step 3: Cross multiply
    6,633.36x = 9,949.84 × 1,702.96
  4. Step 4: Simplify right side
    6,633.36x = 16,944,179.53
  5. Step 5: Solve for x
    x = 16,944,179.53/6,633.36
  6. Step 6: Final answer
    x = 2,554.39

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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.