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Finding the Fourth Proportional to 5,230.06, 7,845.14 and 1,334.48

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Solution

The fourth proportional to 5,230.06, 7,845.14 and 1,334.48 is: 2,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.06 : 7,845.14 = 1,334.48 : x
  2. Step 2: Convert to fraction form
    5,230.06/7,845.14 = 1,334.48/x
  3. Step 3: Cross multiply
    5,230.06x = 7,845.14 × 1,334.48
  4. Step 4: Simplify right side
    5,230.06x = 10,469,146.54
  5. Step 5: Solve for x
    x = 10,469,146.54/5,230.06
  6. Step 6: Final answer
    x = 2,001.73

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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.