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Finding the Fourth Proportional to 6,254.96, 8,629.89 and 3,770.96

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Solution

The fourth proportional to 6,254.96, 8,629.89 and 3,770.96 is: 5,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.96 : 8,629.89 = 3,770.96 : x
  2. Step 2: Convert to fraction form
    6,254.96/8,629.89 = 3,770.96/x
  3. Step 3: Cross multiply
    6,254.96x = 8,629.89 × 3,770.96
  4. Step 4: Simplify right side
    6,254.96x = 32,542,969.99
  5. Step 5: Solve for x
    x = 32,542,969.99/6,254.96
  6. Step 6: Final answer
    x = 5,202.75

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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.