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Finding the Fourth Proportional to 8,107.72, 12,161.10 and 2,264.10

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Solution

The fourth proportional to 8,107.72, 12,161.10 and 2,264.10 is: 3,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.72 : 12,161.10 = 2,264.10 : x
  2. Step 2: Convert to fraction form
    8,107.72/12,161.10 = 2,264.10/x
  3. Step 3: Cross multiply
    8,107.72x = 12,161.10 × 2,264.10
  4. Step 4: Simplify right side
    8,107.72x = 27,533,946.51
  5. Step 5: Solve for x
    x = 27,533,946.51/8,107.72
  6. Step 6: Final answer
    x = 3,396.02

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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.