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Finding the Fourth Proportional to 8,102.70, 12,166.20 and 5,648.40

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Solution

The fourth proportional to 8,102.70, 12,166.20 and 5,648.40 is: 8,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.70 : 12,166.20 = 5,648.40 : x
  2. Step 2: Convert to fraction form
    8,102.70/12,166.20 = 5,648.40/x
  3. Step 3: Cross multiply
    8,102.70x = 12,166.20 × 5,648.40
  4. Step 4: Simplify right side
    8,102.70x = 68,719,564.08
  5. Step 5: Solve for x
    x = 68,719,564.08/8,102.70
  6. Step 6: Final answer
    x = 8,481.07

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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.