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Finding the Fourth Proportional to 11,465.78, 17,197.70 and 8,120.20

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Solution

The fourth proportional to 11,465.78, 17,197.70 and 8,120.20 is: 12,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.78 : 17,197.70 = 8,120.20 : x
  2. Step 2: Convert to fraction form
    11,465.78/17,197.70 = 8,120.20/x
  3. Step 3: Cross multiply
    11,465.78x = 17,197.70 × 8,120.20
  4. Step 4: Simplify right side
    11,465.78x = 139,648,763.54
  5. Step 5: Solve for x
    x = 139,648,763.54/11,465.78
  6. Step 6: Final answer
    x = 12,179.61

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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.