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Finding the Fourth Proportional to 6,863.36, 10,296.12 and 2,246

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Solution

The fourth proportional to 6,863.36, 10,296.12 and 2,246 is: 3,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.36 : 10,296.12 = 2,246 : x
  2. Step 2: Convert to fraction form
    6,863.36/10,296.12 = 2,246/x
  3. Step 3: Cross multiply
    6,863.36x = 10,296.12 × 2,246
  4. Step 4: Simplify right side
    6,863.36x = 23,125,085.52
  5. Step 5: Solve for x
    x = 23,125,085.52/6,863.36
  6. Step 6: Final answer
    x = 3,369.35

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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.