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Finding the Fourth Proportional to 8,195.77, 12,299.12 and 3,001.64

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Solution

The fourth proportional to 8,195.77, 12,299.12 and 3,001.64 is: 4,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.77 : 12,299.12 = 3,001.64 : x
  2. Step 2: Convert to fraction form
    8,195.77/12,299.12 = 3,001.64/x
  3. Step 3: Cross multiply
    8,195.77x = 12,299.12 × 3,001.64
  4. Step 4: Simplify right side
    8,195.77x = 36,917,530.56
  5. Step 5: Solve for x
    x = 36,917,530.56/8,195.77
  6. Step 6: Final answer
    x = 4,504.46

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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.