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Finding the Fourth Proportional to 4,786.92, 7,167.87 and 4,494.96

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Solution

The fourth proportional to 4,786.92, 7,167.87 and 4,494.96 is: 6,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.92 : 7,167.87 = 4,494.96 : x
  2. Step 2: Convert to fraction form
    4,786.92/7,167.87 = 4,494.96/x
  3. Step 3: Cross multiply
    4,786.92x = 7,167.87 × 4,494.96
  4. Step 4: Simplify right side
    4,786.92x = 32,219,288.94
  5. Step 5: Solve for x
    x = 32,219,288.94/4,786.92
  6. Step 6: Final answer
    x = 6,730.69

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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.