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Finding the Fourth Proportional to 5,724.70, 7,997.30 and 5,724.70

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Solution

The fourth proportional to 5,724.70, 7,997.30 and 5,724.70 is: 7,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.70 : 7,997.30 = 5,724.70 : x
  2. Step 2: Convert to fraction form
    5,724.70/7,997.30 = 5,724.70/x
  3. Step 3: Cross multiply
    5,724.70x = 7,997.30 × 5,724.70
  4. Step 4: Simplify right side
    5,724.70x = 45,782,143.31
  5. Step 5: Solve for x
    x = 45,782,143.31/5,724.70
  6. Step 6: Final answer
    x = 7,997.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.