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Finding the Fourth Proportional to 7,135.70, 9,845.60 and 6,189.82

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Solution

The fourth proportional to 7,135.70, 9,845.60 and 6,189.82 is: 8,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.70 : 9,845.60 = 6,189.82 : x
  2. Step 2: Convert to fraction form
    7,135.70/9,845.60 = 6,189.82/x
  3. Step 3: Cross multiply
    7,135.70x = 9,845.60 × 6,189.82
  4. Step 4: Simplify right side
    7,135.70x = 60,942,471.05
  5. Step 5: Solve for x
    x = 60,942,471.05/7,135.70
  6. Step 6: Final answer
    x = 8,540.51

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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.