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Finding the Fourth Proportional to 8,076.48, 12,111 and 4,183.62

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Solution

The fourth proportional to 8,076.48, 12,111 and 4,183.62 is: 6,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.48 : 12,111 = 4,183.62 : x
  2. Step 2: Convert to fraction form
    8,076.48/12,111 = 4,183.62/x
  3. Step 3: Cross multiply
    8,076.48x = 12,111 × 4,183.62
  4. Step 4: Simplify right side
    8,076.48x = 50,667,821.82
  5. Step 5: Solve for x
    x = 50,667,821.82/8,076.48
  6. Step 6: Final answer
    x = 6,273.50

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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.