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Finding the Fourth Proportional to 5,933.48, 8,170.07 and 5,183.06

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Solution

The fourth proportional to 5,933.48, 8,170.07 and 5,183.06 is: 7,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.48 : 8,170.07 = 5,183.06 : x
  2. Step 2: Convert to fraction form
    5,933.48/8,170.07 = 5,183.06/x
  3. Step 3: Cross multiply
    5,933.48x = 8,170.07 × 5,183.06
  4. Step 4: Simplify right side
    5,933.48x = 42,345,896.25
  5. Step 5: Solve for x
    x = 42,345,896.25/5,933.48
  6. Step 6: Final answer
    x = 7,136.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.