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Finding the Fourth Proportional to 6,638.95, 9,964.57 and 3,354.34

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Solution

The fourth proportional to 6,638.95, 9,964.57 and 3,354.34 is: 5,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.95 : 9,964.57 = 3,354.34 : x
  2. Step 2: Convert to fraction form
    6,638.95/9,964.57 = 3,354.34/x
  3. Step 3: Cross multiply
    6,638.95x = 9,964.57 × 3,354.34
  4. Step 4: Simplify right side
    6,638.95x = 33,424,555.73
  5. Step 5: Solve for x
    x = 33,424,555.73/6,638.95
  6. Step 6: Final answer
    x = 5,034.61

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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.