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Finding the Fourth Proportional to 5,159.75, 7,735.82 and 4,173.80

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Solution

The fourth proportional to 5,159.75, 7,735.82 and 4,173.80 is: 6,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.75 : 7,735.82 = 4,173.80 : x
  2. Step 2: Convert to fraction form
    5,159.75/7,735.82 = 4,173.80/x
  3. Step 3: Cross multiply
    5,159.75x = 7,735.82 × 4,173.80
  4. Step 4: Simplify right side
    5,159.75x = 32,287,705.97
  5. Step 5: Solve for x
    x = 32,287,705.97/5,159.75
  6. Step 6: Final answer
    x = 6,257.62

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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.