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Finding the Fourth Proportional to 6,474.45, 9,711.67 and 2,774.28

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Solution

The fourth proportional to 6,474.45, 9,711.67 and 2,774.28 is: 4,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.45 : 9,711.67 = 2,774.28 : x
  2. Step 2: Convert to fraction form
    6,474.45/9,711.67 = 2,774.28/x
  3. Step 3: Cross multiply
    6,474.45x = 9,711.67 × 2,774.28
  4. Step 4: Simplify right side
    6,474.45x = 26,942,850.22
  5. Step 5: Solve for x
    x = 26,942,850.22/6,474.45
  6. Step 6: Final answer
    x = 4,161.41

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1.5x scale

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.