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Finding the Fourth Proportional to 6,378.44, 9,568.22 and 1,761.44

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Solution

The fourth proportional to 6,378.44, 9,568.22 and 1,761.44 is: 2,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.44 : 9,568.22 = 1,761.44 : x
  2. Step 2: Convert to fraction form
    6,378.44/9,568.22 = 1,761.44/x
  3. Step 3: Cross multiply
    6,378.44x = 9,568.22 × 1,761.44
  4. Step 4: Simplify right side
    6,378.44x = 16,853,845.44
  5. Step 5: Solve for x
    x = 16,853,845.44/6,378.44
  6. Step 6: Final answer
    x = 2,642.31

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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.