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Finding the Fourth Proportional to 6,344.96, 8,755.62 and 3,512.24

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Solution

The fourth proportional to 6,344.96, 8,755.62 and 3,512.24 is: 4,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.96 : 8,755.62 = 3,512.24 : x
  2. Step 2: Convert to fraction form
    6,344.96/8,755.62 = 3,512.24/x
  3. Step 3: Cross multiply
    6,344.96x = 8,755.62 × 3,512.24
  4. Step 4: Simplify right side
    6,344.96x = 30,751,838.79
  5. Step 5: Solve for x
    x = 30,751,838.79/6,344.96
  6. Step 6: Final answer
    x = 4,846.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.