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Finding the Fourth Proportional to 4,977.62, 7,467.38 and 1,467.62

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Solution

The fourth proportional to 4,977.62, 7,467.38 and 1,467.62 is: 2,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.62 : 7,467.38 = 1,467.62 : x
  2. Step 2: Convert to fraction form
    4,977.62/7,467.38 = 1,467.62/x
  3. Step 3: Cross multiply
    4,977.62x = 7,467.38 × 1,467.62
  4. Step 4: Simplify right side
    4,977.62x = 10,959,276.24
  5. Step 5: Solve for x
    x = 10,959,276.24/4,977.62
  6. Step 6: Final answer
    x = 2,201.71

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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.