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Finding the Fourth Proportional to 6,648.36, 9,967.92 and 2,948.56

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Solution

The fourth proportional to 6,648.36, 9,967.92 and 2,948.56 is: 4,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.36 : 9,967.92 = 2,948.56 : x
  2. Step 2: Convert to fraction form
    6,648.36/9,967.92 = 2,948.56/x
  3. Step 3: Cross multiply
    6,648.36x = 9,967.92 × 2,948.56
  4. Step 4: Simplify right side
    6,648.36x = 29,391,010.20
  5. Step 5: Solve for x
    x = 29,391,010.20/6,648.36
  6. Step 6: Final answer
    x = 4,420.79

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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.