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Finding the Fourth Proportional to 6,884.26, 9,500.25 and 3,740.47

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Solution

The fourth proportional to 6,884.26, 9,500.25 and 3,740.47 is: 5,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.26 : 9,500.25 = 3,740.47 : x
  2. Step 2: Convert to fraction form
    6,884.26/9,500.25 = 3,740.47/x
  3. Step 3: Cross multiply
    6,884.26x = 9,500.25 × 3,740.47
  4. Step 4: Simplify right side
    6,884.26x = 35,535,400.12
  5. Step 5: Solve for x
    x = 35,535,400.12/6,884.26
  6. Step 6: Final answer
    x = 5,161.83

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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.