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Finding the Fourth Proportional to 9,662, 14,487.68 and 2,996.65

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Solution

The fourth proportional to 9,662, 14,487.68 and 2,996.65 is: 4,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662 : 14,487.68 = 2,996.65 : x
  2. Step 2: Convert to fraction form
    9,662/14,487.68 = 2,996.65/x
  3. Step 3: Cross multiply
    9,662x = 14,487.68 × 2,996.65
  4. Step 4: Simplify right side
    9,662x = 43,414,527.51
  5. Step 5: Solve for x
    x = 43,414,527.51/9,662
  6. Step 6: Final answer
    x = 4,493.33

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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.