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Finding the Fourth Proportional to 6,906.61, 9,530.78 and 3,922.03

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Solution

The fourth proportional to 6,906.61, 9,530.78 and 3,922.03 is: 5,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.61 : 9,530.78 = 3,922.03 : x
  2. Step 2: Convert to fraction form
    6,906.61/9,530.78 = 3,922.03/x
  3. Step 3: Cross multiply
    6,906.61x = 9,530.78 × 3,922.03
  4. Step 4: Simplify right side
    6,906.61x = 37,380,005.08
  5. Step 5: Solve for x
    x = 37,380,005.08/6,906.61
  6. Step 6: Final answer
    x = 5,412.21

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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.