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Finding the Fourth Proportional to 6,656, 9,963.84 and 4,447.04

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Solution

The fourth proportional to 6,656, 9,963.84 and 4,447.04 is: 6,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656 : 9,963.84 = 4,447.04 : x
  2. Step 2: Convert to fraction form
    6,656/9,963.84 = 4,447.04/x
  3. Step 3: Cross multiply
    6,656x = 9,963.84 × 4,447.04
  4. Step 4: Simplify right side
    6,656x = 44,309,595.03
  5. Step 5: Solve for x
    x = 44,309,595.03/6,656
  6. Step 6: Final answer
    x = 6,657.09

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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.