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Finding the Fourth Proportional to 12,794.64, 19,183.86 and 5,404.20

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Solution

The fourth proportional to 12,794.64, 19,183.86 and 5,404.20 is: 8,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.64 : 19,183.86 = 5,404.20 : x
  2. Step 2: Convert to fraction form
    12,794.64/19,183.86 = 5,404.20/x
  3. Step 3: Cross multiply
    12,794.64x = 19,183.86 × 5,404.20
  4. Step 4: Simplify right side
    12,794.64x = 103,673,416.21
  5. Step 5: Solve for x
    x = 103,673,416.21/12,794.64
  6. Step 6: Final answer
    x = 8,102.88

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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.