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Finding the Fourth Proportional to 8,161.76, 12,237.24 and 2,967.68

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Solution

The fourth proportional to 8,161.76, 12,237.24 and 2,967.68 is: 4,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.76 : 12,237.24 = 2,967.68 : x
  2. Step 2: Convert to fraction form
    8,161.76/12,237.24 = 2,967.68/x
  3. Step 3: Cross multiply
    8,161.76x = 12,237.24 × 2,967.68
  4. Step 4: Simplify right side
    8,161.76x = 36,316,212.40
  5. Step 5: Solve for x
    x = 36,316,212.40/8,161.76
  6. Step 6: Final answer
    x = 4,449.56

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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.