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Finding the Fourth Proportional to 8,682.94, 13,024.22 and 2,109.16

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Solution

The fourth proportional to 8,682.94, 13,024.22 and 2,109.16 is: 3,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.94 : 13,024.22 = 2,109.16 : x
  2. Step 2: Convert to fraction form
    8,682.94/13,024.22 = 2,109.16/x
  3. Step 3: Cross multiply
    8,682.94x = 13,024.22 × 2,109.16
  4. Step 4: Simplify right side
    8,682.94x = 27,470,098.73
  5. Step 5: Solve for x
    x = 27,470,098.73/8,682.94
  6. Step 6: Final answer
    x = 3,163.69

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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.