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Finding the Fourth Proportional to 6,911.68, 10,367.84 and 3,016

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Solution

The fourth proportional to 6,911.68, 10,367.84 and 3,016 is: 4,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.68 : 10,367.84 = 3,016 : x
  2. Step 2: Convert to fraction form
    6,911.68/10,367.84 = 3,016/x
  3. Step 3: Cross multiply
    6,911.68x = 10,367.84 × 3,016
  4. Step 4: Simplify right side
    6,911.68x = 31,269,405.44
  5. Step 5: Solve for x
    x = 31,269,405.44/6,911.68
  6. Step 6: Final answer
    x = 4,524.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.