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Finding the Fourth Proportional to 12,262.28, 18,394.50 and 3,497

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Solution

The fourth proportional to 12,262.28, 18,394.50 and 3,497 is: 5,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.28 : 18,394.50 = 3,497 : x
  2. Step 2: Convert to fraction form
    12,262.28/18,394.50 = 3,497/x
  3. Step 3: Cross multiply
    12,262.28x = 18,394.50 × 3,497
  4. Step 4: Simplify right side
    12,262.28x = 64,325,566.50
  5. Step 5: Solve for x
    x = 64,325,566.50/12,262.28
  6. Step 6: Final answer
    x = 5,245.81

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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.