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Finding the Fourth Proportional to 6,906.69, 9,530.90 and 3,922.12

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Solution

The fourth proportional to 6,906.69, 9,530.90 and 3,922.12 is: 5,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.69 : 9,530.90 = 3,922.12 : x
  2. Step 2: Convert to fraction form
    6,906.69/9,530.90 = 3,922.12/x
  3. Step 3: Cross multiply
    6,906.69x = 9,530.90 × 3,922.12
  4. Step 4: Simplify right side
    6,906.69x = 37,381,319.49
  5. Step 5: Solve for x
    x = 37,381,319.49/6,906.69
  6. Step 6: Final answer
    x = 5,412.33

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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.