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Finding the Fourth Proportional to 8,161.80, 12,242.70 and 2,967

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Solution

The fourth proportional to 8,161.80, 12,242.70 and 2,967 is: 4,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.80 : 12,242.70 = 2,967 : x
  2. Step 2: Convert to fraction form
    8,161.80/12,242.70 = 2,967/x
  3. Step 3: Cross multiply
    8,161.80x = 12,242.70 × 2,967
  4. Step 4: Simplify right side
    8,161.80x = 36,324,090.90
  5. Step 5: Solve for x
    x = 36,324,090.90/8,161.80
  6. Step 6: Final answer
    x = 4,450.50

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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.