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Finding the Fourth Proportional to 8,682.97, 13,024.46 and 2,109.15

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Solution

The fourth proportional to 8,682.97, 13,024.46 and 2,109.15 is: 3,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.97 : 13,024.46 = 2,109.15 : x
  2. Step 2: Convert to fraction form
    8,682.97/13,024.46 = 2,109.15/x
  3. Step 3: Cross multiply
    8,682.97x = 13,024.46 × 2,109.15
  4. Step 4: Simplify right side
    8,682.97x = 27,470,539.81
  5. Step 5: Solve for x
    x = 27,470,539.81/8,682.97
  6. Step 6: Final answer
    x = 3,163.73

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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.