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Finding the Fourth Proportional to 8,464.96, 12,695.52 and 2,992.96

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Solution

The fourth proportional to 8,464.96, 12,695.52 and 2,992.96 is: 4,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.96 : 12,695.52 = 2,992.96 : x
  2. Step 2: Convert to fraction form
    8,464.96/12,695.52 = 2,992.96/x
  3. Step 3: Cross multiply
    8,464.96x = 12,695.52 × 2,992.96
  4. Step 4: Simplify right side
    8,464.96x = 37,997,183.54
  5. Step 5: Solve for x
    x = 37,997,183.54/8,464.96
  6. Step 6: Final answer
    x = 4,488.76

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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.