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Finding the Fourth Proportional to 8,107.58, 12,161.85 and 2,264.18

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Solution

The fourth proportional to 8,107.58, 12,161.85 and 2,264.18 is: 3,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.58 : 12,161.85 = 2,264.18 : x
  2. Step 2: Convert to fraction form
    8,107.58/12,161.85 = 2,264.18/x
  3. Step 3: Cross multiply
    8,107.58x = 12,161.85 × 2,264.18
  4. Step 4: Simplify right side
    8,107.58x = 27,536,617.53
  5. Step 5: Solve for x
    x = 27,536,617.53/8,107.58
  6. Step 6: Final answer
    x = 3,396.40

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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.