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Finding the Fourth Proportional to 6,921.42, 10,365.39 and 4,843.50

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Solution

The fourth proportional to 6,921.42, 10,365.39 and 4,843.50 is: 7,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.42 : 10,365.39 = 4,843.50 : x
  2. Step 2: Convert to fraction form
    6,921.42/10,365.39 = 4,843.50/x
  3. Step 3: Cross multiply
    6,921.42x = 10,365.39 × 4,843.50
  4. Step 4: Simplify right side
    6,921.42x = 50,204,766.47
  5. Step 5: Solve for x
    x = 50,204,766.47/6,921.42
  6. Step 6: Final answer
    x = 7,253.54

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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.