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Finding the Fourth Proportional to 6,919.92, 10,326.32 and 6,181.56

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Solution

The fourth proportional to 6,919.92, 10,326.32 and 6,181.56 is: 9,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.92 : 10,326.32 = 6,181.56 : x
  2. Step 2: Convert to fraction form
    6,919.92/10,326.32 = 6,181.56/x
  3. Step 3: Cross multiply
    6,919.92x = 10,326.32 × 6,181.56
  4. Step 4: Simplify right side
    6,919.92x = 63,832,735.75
  5. Step 5: Solve for x
    x = 63,832,735.75/6,919.92
  6. Step 6: Final answer
    x = 9,224.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.