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Finding the Fourth Proportional to 6,906.74, 9,530.96 and 3,922.18

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Solution

The fourth proportional to 6,906.74, 9,530.96 and 3,922.18 is: 5,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.74 : 9,530.96 = 3,922.18 : x
  2. Step 2: Convert to fraction form
    6,906.74/9,530.96 = 3,922.18/x
  3. Step 3: Cross multiply
    6,906.74x = 9,530.96 × 3,922.18
  4. Step 4: Simplify right side
    6,906.74x = 37,382,097.25
  5. Step 5: Solve for x
    x = 37,382,097.25/6,906.74
  6. Step 6: Final answer
    x = 5,412.41

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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.