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Finding the Fourth Proportional to 7,940.82, 10,933.38 and 6,743.28

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Solution

The fourth proportional to 7,940.82, 10,933.38 and 6,743.28 is: 9,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.82 : 10,933.38 = 6,743.28 : x
  2. Step 2: Convert to fraction form
    7,940.82/10,933.38 = 6,743.28/x
  3. Step 3: Cross multiply
    7,940.82x = 10,933.38 × 6,743.28
  4. Step 4: Simplify right side
    7,940.82x = 73,726,842.69
  5. Step 5: Solve for x
    x = 73,726,842.69/7,940.82
  6. Step 6: Final answer
    x = 9,284.54

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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.