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Finding the Fourth Proportional to 6,744.09, 10,116 and 2,797.46

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Solution

The fourth proportional to 6,744.09, 10,116 and 2,797.46 is: 4,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.09 : 10,116 = 2,797.46 : x
  2. Step 2: Convert to fraction form
    6,744.09/10,116 = 2,797.46/x
  3. Step 3: Cross multiply
    6,744.09x = 10,116 × 2,797.46
  4. Step 4: Simplify right side
    6,744.09x = 28,299,054.78
  5. Step 5: Solve for x
    x = 28,299,054.78/6,744.09
  6. Step 6: Final answer
    x = 4,196.13

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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.