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Finding the Fourth Proportional to 10,147.56, 13,992.24 and 6,557.79

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Solution

The fourth proportional to 10,147.56, 13,992.24 and 6,557.79 is: 9,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.56 : 13,992.24 = 6,557.79 : x
  2. Step 2: Convert to fraction form
    10,147.56/13,992.24 = 6,557.79/x
  3. Step 3: Cross multiply
    10,147.56x = 13,992.24 × 6,557.79
  4. Step 4: Simplify right side
    10,147.56x = 91,758,171.55
  5. Step 5: Solve for x
    x = 91,758,171.55/10,147.56
  6. Step 6: Final answer
    x = 9,042.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.