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Finding the Fourth Proportional to 4,964.92, 7,447.37 and 1,267.14

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Solution

The fourth proportional to 4,964.92, 7,447.37 and 1,267.14 is: 1,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.92 : 7,447.37 = 1,267.14 : x
  2. Step 2: Convert to fraction form
    4,964.92/7,447.37 = 1,267.14/x
  3. Step 3: Cross multiply
    4,964.92x = 7,447.37 × 1,267.14
  4. Step 4: Simplify right side
    4,964.92x = 9,436,886.83
  5. Step 5: Solve for x
    x = 9,436,886.83/4,964.92
  6. Step 6: Final answer
    x = 1,900.71

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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.