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Finding the Fourth Proportional to 6,908.14, 9,533.10 and 3,764.26

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Solution

The fourth proportional to 6,908.14, 9,533.10 and 3,764.26 is: 5,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.14 : 9,533.10 = 3,764.26 : x
  2. Step 2: Convert to fraction form
    6,908.14/9,533.10 = 3,764.26/x
  3. Step 3: Cross multiply
    6,908.14x = 9,533.10 × 3,764.26
  4. Step 4: Simplify right side
    6,908.14x = 35,885,067.01
  5. Step 5: Solve for x
    x = 35,885,067.01/6,908.14
  6. Step 6: Final answer
    x = 5,194.61

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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.