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Finding the Fourth Proportional to 6,866.42, 9,475.62 and 3,882.26

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Solution

The fourth proportional to 6,866.42, 9,475.62 and 3,882.26 is: 5,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.42 : 9,475.62 = 3,882.26 : x
  2. Step 2: Convert to fraction form
    6,866.42/9,475.62 = 3,882.26/x
  3. Step 3: Cross multiply
    6,866.42x = 9,475.62 × 3,882.26
  4. Step 4: Simplify right side
    6,866.42x = 36,786,773.12
  5. Step 5: Solve for x
    x = 36,786,773.12/6,866.42
  6. Step 6: Final answer
    x = 5,357.49

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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.