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Finding the Fourth Proportional to 6,551.56, 9,832.09 and 4,912.52

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Solution

The fourth proportional to 6,551.56, 9,832.09 and 4,912.52 is: 7,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.56 : 9,832.09 = 4,912.52 : x
  2. Step 2: Convert to fraction form
    6,551.56/9,832.09 = 4,912.52/x
  3. Step 3: Cross multiply
    6,551.56x = 9,832.09 × 4,912.52
  4. Step 4: Simplify right side
    6,551.56x = 48,300,338.77
  5. Step 5: Solve for x
    x = 48,300,338.77/6,551.56
  6. Step 6: Final answer
    x = 7,372.34

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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.