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Finding the Fourth Proportional to 28,831, 43,246.54 and 6,943

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Solution

The fourth proportional to 28,831, 43,246.54 and 6,943 is: 10,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,831 : 43,246.54 = 6,943 : x
  2. Step 2: Convert to fraction form
    28,831/43,246.54 = 6,943/x
  3. Step 3: Cross multiply
    28,831x = 43,246.54 × 6,943
  4. Step 4: Simplify right side
    28,831x = 300,260,727.22
  5. Step 5: Solve for x
    x = 300,260,727.22/28,831
  6. Step 6: Final answer
    x = 10,414.51

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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.