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Finding the Fourth Proportional to 8,202.16, 12,304.86 and 3,008.08

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Solution

The fourth proportional to 8,202.16, 12,304.86 and 3,008.08 is: 4,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.16 : 12,304.86 = 3,008.08 : x
  2. Step 2: Convert to fraction form
    8,202.16/12,304.86 = 3,008.08/x
  3. Step 3: Cross multiply
    8,202.16x = 12,304.86 × 3,008.08
  4. Step 4: Simplify right side
    8,202.16x = 37,014,003.27
  5. Step 5: Solve for x
    x = 37,014,003.27/8,202.16
  6. Step 6: Final answer
    x = 4,512.71

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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.