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Finding the Fourth Proportional to 4,843.48, 7,265.90 and 1,724.26

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Solution

The fourth proportional to 4,843.48, 7,265.90 and 1,724.26 is: 2,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.48 : 7,265.90 = 1,724.26 : x
  2. Step 2: Convert to fraction form
    4,843.48/7,265.90 = 1,724.26/x
  3. Step 3: Cross multiply
    4,843.48x = 7,265.90 × 1,724.26
  4. Step 4: Simplify right side
    4,843.48x = 12,528,300.73
  5. Step 5: Solve for x
    x = 12,528,300.73/4,843.48
  6. Step 6: Final answer
    x = 2,586.63

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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.