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Finding the Fourth Proportional to 6,596.66, 9,103.92 and 3,763.39

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Solution

The fourth proportional to 6,596.66, 9,103.92 and 3,763.39 is: 5,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.66 : 9,103.92 = 3,763.39 : x
  2. Step 2: Convert to fraction form
    6,596.66/9,103.92 = 3,763.39/x
  3. Step 3: Cross multiply
    6,596.66x = 9,103.92 × 3,763.39
  4. Step 4: Simplify right side
    6,596.66x = 34,261,537.15
  5. Step 5: Solve for x
    x = 34,261,537.15/6,596.66
  6. Step 6: Final answer
    x = 5,193.77

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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.