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Finding the Fourth Proportional to 6,781.05, 9,357.86 and 3,796.93

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Solution

The fourth proportional to 6,781.05, 9,357.86 and 3,796.93 is: 5,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.05 : 9,357.86 = 3,796.93 : x
  2. Step 2: Convert to fraction form
    6,781.05/9,357.86 = 3,796.93/x
  3. Step 3: Cross multiply
    6,781.05x = 9,357.86 × 3,796.93
  4. Step 4: Simplify right side
    6,781.05x = 35,531,125.47
  5. Step 5: Solve for x
    x = 35,531,125.47/6,781.05
  6. Step 6: Final answer
    x = 5,239.77

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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.