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Finding the Fourth Proportional to 6,777.75, 10,164.90 and 1,847.13

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Solution

The fourth proportional to 6,777.75, 10,164.90 and 1,847.13 is: 2,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.75 : 10,164.90 = 1,847.13 : x
  2. Step 2: Convert to fraction form
    6,777.75/10,164.90 = 1,847.13/x
  3. Step 3: Cross multiply
    6,777.75x = 10,164.90 × 1,847.13
  4. Step 4: Simplify right side
    6,777.75x = 18,775,891.74
  5. Step 5: Solve for x
    x = 18,775,891.74/6,777.75
  6. Step 6: Final answer
    x = 2,770.22

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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.