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Finding the Fourth Proportional to 6,944.84, 10,418.76 and 2,014.70

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Solution

The fourth proportional to 6,944.84, 10,418.76 and 2,014.70 is: 3,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.84 : 10,418.76 = 2,014.70 : x
  2. Step 2: Convert to fraction form
    6,944.84/10,418.76 = 2,014.70/x
  3. Step 3: Cross multiply
    6,944.84x = 10,418.76 × 2,014.70
  4. Step 4: Simplify right side
    6,944.84x = 20,990,675.77
  5. Step 5: Solve for x
    x = 20,990,675.77/6,944.84
  6. Step 6: Final answer
    x = 3,022.49

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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.