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Finding the Fourth Proportional to 8,200.70, 12,301.43 and 2,654.48

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Solution

The fourth proportional to 8,200.70, 12,301.43 and 2,654.48 is: 3,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.70 : 12,301.43 = 2,654.48 : x
  2. Step 2: Convert to fraction form
    8,200.70/12,301.43 = 2,654.48/x
  3. Step 3: Cross multiply
    8,200.70x = 12,301.43 × 2,654.48
  4. Step 4: Simplify right side
    8,200.70x = 32,653,863.12
  5. Step 5: Solve for x
    x = 32,653,863.12/8,200.70
  6. Step 6: Final answer
    x = 3,981.84

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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.