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Finding the Fourth Proportional to 8,179.76, 11,288.16 and 4,453.76

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Solution

The fourth proportional to 8,179.76, 11,288.16 and 4,453.76 is: 6,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.76 : 11,288.16 = 4,453.76 : x
  2. Step 2: Convert to fraction form
    8,179.76/11,288.16 = 4,453.76/x
  3. Step 3: Cross multiply
    8,179.76x = 11,288.16 × 4,453.76
  4. Step 4: Simplify right side
    8,179.76x = 50,274,755.48
  5. Step 5: Solve for x
    x = 50,274,755.48/8,179.76
  6. Step 6: Final answer
    x = 6,146.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.