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Finding the Fourth Proportional to 6,287.70, 9,425.96 and 3,163.62

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Solution

The fourth proportional to 6,287.70, 9,425.96 and 3,163.62 is: 4,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.70 : 9,425.96 = 3,163.62 : x
  2. Step 2: Convert to fraction form
    6,287.70/9,425.96 = 3,163.62/x
  3. Step 3: Cross multiply
    6,287.70x = 9,425.96 × 3,163.62
  4. Step 4: Simplify right side
    6,287.70x = 29,820,155.58
  5. Step 5: Solve for x
    x = 29,820,155.58/6,287.70
  6. Step 6: Final answer
    x = 4,742.62

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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.