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Finding the Fourth Proportional to 6,194.70, 9,297.90 and 3,847.59

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Solution

The fourth proportional to 6,194.70, 9,297.90 and 3,847.59 is: 5,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.70 : 9,297.90 = 3,847.59 : x
  2. Step 2: Convert to fraction form
    6,194.70/9,297.90 = 3,847.59/x
  3. Step 3: Cross multiply
    6,194.70x = 9,297.90 × 3,847.59
  4. Step 4: Simplify right side
    6,194.70x = 35,774,507.06
  5. Step 5: Solve for x
    x = 35,774,507.06/6,194.70
  6. Step 6: Final answer
    x = 5,775.02

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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.