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Finding the Fourth Proportional to 9,215.88, 13,807.38 and 3,867.24

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Solution

The fourth proportional to 9,215.88, 13,807.38 and 3,867.24 is: 5,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.88 : 13,807.38 = 3,867.24 : x
  2. Step 2: Convert to fraction form
    9,215.88/13,807.38 = 3,867.24/x
  3. Step 3: Cross multiply
    9,215.88x = 13,807.38 × 3,867.24
  4. Step 4: Simplify right side
    9,215.88x = 53,396,452.23
  5. Step 5: Solve for x
    x = 53,396,452.23/9,215.88
  6. Step 6: Final answer
    x = 5,793.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.