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Finding the Fourth Proportional to 12,304.45, 16,978.14 and 7,267.97

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Solution

The fourth proportional to 12,304.45, 16,978.14 and 7,267.97 is: 10,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.45 : 16,978.14 = 7,267.97 : x
  2. Step 2: Convert to fraction form
    12,304.45/16,978.14 = 7,267.97/x
  3. Step 3: Cross multiply
    12,304.45x = 16,978.14 × 7,267.97
  4. Step 4: Simplify right side
    12,304.45x = 123,396,654.62
  5. Step 5: Solve for x
    x = 123,396,654.62/12,304.45
  6. Step 6: Final answer
    x = 10,028.62

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1.5x scale

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.