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Finding the Fourth Proportional to 6,422.44, 9,633.86 and 1,742.43

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Solution

The fourth proportional to 6,422.44, 9,633.86 and 1,742.43 is: 2,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.44 : 9,633.86 = 1,742.43 : x
  2. Step 2: Convert to fraction form
    6,422.44/9,633.86 = 1,742.43/x
  3. Step 3: Cross multiply
    6,422.44x = 9,633.86 × 1,742.43
  4. Step 4: Simplify right side
    6,422.44x = 16,786,346.41
  5. Step 5: Solve for x
    x = 16,786,346.41/6,422.44
  6. Step 6: Final answer
    x = 2,613.70

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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.