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Finding the Fourth Proportional to 15,183, 22,774.86 and 5,949

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Solution

The fourth proportional to 15,183, 22,774.86 and 5,949 is: 8,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183 : 22,774.86 = 5,949 : x
  2. Step 2: Convert to fraction form
    15,183/22,774.86 = 5,949/x
  3. Step 3: Cross multiply
    15,183x = 22,774.86 × 5,949
  4. Step 4: Simplify right side
    15,183x = 135,487,642.14
  5. Step 5: Solve for x
    x = 135,487,642.14/15,183
  6. Step 6: Final answer
    x = 8,923.64

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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.