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Finding the Fourth Proportional to 4,766.62, 7,147.31 and 1,478.80

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Solution

The fourth proportional to 4,766.62, 7,147.31 and 1,478.80 is: 2,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.62 : 7,147.31 = 1,478.80 : x
  2. Step 2: Convert to fraction form
    4,766.62/7,147.31 = 1,478.80/x
  3. Step 3: Cross multiply
    4,766.62x = 7,147.31 × 1,478.80
  4. Step 4: Simplify right side
    4,766.62x = 10,569,442.03
  5. Step 5: Solve for x
    x = 10,569,442.03/4,766.62
  6. Step 6: Final answer
    x = 2,217.39

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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.