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Finding the Fourth Proportional to 6,191.65, 9,287.37 and 2,493.78

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Solution

The fourth proportional to 6,191.65, 9,287.37 and 2,493.78 is: 3,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.65 : 9,287.37 = 2,493.78 : x
  2. Step 2: Convert to fraction form
    6,191.65/9,287.37 = 2,493.78/x
  3. Step 3: Cross multiply
    6,191.65x = 9,287.37 × 2,493.78
  4. Step 4: Simplify right side
    6,191.65x = 23,160,657.56
  5. Step 5: Solve for x
    x = 23,160,657.56/6,191.65
  6. Step 6: Final answer
    x = 3,740.63

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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.