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Finding the Fourth Proportional to 7,183.06, 9,913.14 and 3,997.06

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Solution

The fourth proportional to 7,183.06, 9,913.14 and 3,997.06 is: 5,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.06 : 9,913.14 = 3,997.06 : x
  2. Step 2: Convert to fraction form
    7,183.06/9,913.14 = 3,997.06/x
  3. Step 3: Cross multiply
    7,183.06x = 9,913.14 × 3,997.06
  4. Step 4: Simplify right side
    7,183.06x = 39,623,415.37
  5. Step 5: Solve for x
    x = 39,623,415.37/7,183.06
  6. Step 6: Final answer
    x = 5,516.23

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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.