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Finding the Fourth Proportional to 8,150.91, 12,202.07 and 8,011.59

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Solution

The fourth proportional to 8,150.91, 12,202.07 and 8,011.59 is: 11,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.91 : 12,202.07 = 8,011.59 : x
  2. Step 2: Convert to fraction form
    8,150.91/12,202.07 = 8,011.59/x
  3. Step 3: Cross multiply
    8,150.91x = 12,202.07 × 8,011.59
  4. Step 4: Simplify right side
    8,150.91x = 97,757,941.93
  5. Step 5: Solve for x
    x = 97,757,941.93/8,150.91
  6. Step 6: Final answer
    x = 11,993.50

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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.