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Finding the Fourth Proportional to 6,992, 9,648.96 and 4,048

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Solution

The fourth proportional to 6,992, 9,648.96 and 4,048 is: 5,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992 : 9,648.96 = 4,048 : x
  2. Step 2: Convert to fraction form
    6,992/9,648.96 = 4,048/x
  3. Step 3: Cross multiply
    6,992x = 9,648.96 × 4,048
  4. Step 4: Simplify right side
    6,992x = 39,058,990.08
  5. Step 5: Solve for x
    x = 39,058,990.08/6,992
  6. Step 6: Final answer
    x = 5,586.24

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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.