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Finding the Fourth Proportional to 6,898.56, 10,385.44 and 6,286.24

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Solution

The fourth proportional to 6,898.56, 10,385.44 and 6,286.24 is: 9,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.56 : 10,385.44 = 6,286.24 : x
  2. Step 2: Convert to fraction form
    6,898.56/10,385.44 = 6,286.24/x
  3. Step 3: Cross multiply
    6,898.56x = 10,385.44 × 6,286.24
  4. Step 4: Simplify right side
    6,898.56x = 65,285,368.35
  5. Step 5: Solve for x
    x = 65,285,368.35/6,898.56
  6. Step 6: Final answer
    x = 9,463.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.