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Finding the Fourth Proportional to 9,858.28, 14,791.02 and 4,664.56

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Solution

The fourth proportional to 9,858.28, 14,791.02 and 4,664.56 is: 6,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.28 : 14,791.02 = 4,664.56 : x
  2. Step 2: Convert to fraction form
    9,858.28/14,791.02 = 4,664.56/x
  3. Step 3: Cross multiply
    9,858.28x = 14,791.02 × 4,664.56
  4. Step 4: Simplify right side
    9,858.28x = 68,993,600.25
  5. Step 5: Solve for x
    x = 68,993,600.25/9,858.28
  6. Step 6: Final answer
    x = 6,998.54

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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.