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Finding the Fourth Proportional to 6,964.65, 10,442.10 and 3,450.37

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Solution

The fourth proportional to 6,964.65, 10,442.10 and 3,450.37 is: 5,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.65 : 10,442.10 = 3,450.37 : x
  2. Step 2: Convert to fraction form
    6,964.65/10,442.10 = 3,450.37/x
  3. Step 3: Cross multiply
    6,964.65x = 10,442.10 × 3,450.37
  4. Step 4: Simplify right side
    6,964.65x = 36,029,108.58
  5. Step 5: Solve for x
    x = 36,029,108.58/6,964.65
  6. Step 6: Final answer
    x = 5,173.14

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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.