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Finding the Fourth Proportional to 12,497.67, 18,741 and 4,701

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Solution

The fourth proportional to 12,497.67, 18,741 and 4,701 is: 7,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.67 : 18,741 = 4,701 : x
  2. Step 2: Convert to fraction form
    12,497.67/18,741 = 4,701/x
  3. Step 3: Cross multiply
    12,497.67x = 18,741 × 4,701
  4. Step 4: Simplify right side
    12,497.67x = 88,101,441
  5. Step 5: Solve for x
    x = 88,101,441/12,497.67
  6. Step 6: Final answer
    x = 7,049.43

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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.