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Finding the Fourth Proportional to 12,494.67, 18,736.50 and 4,698

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Solution

The fourth proportional to 12,494.67, 18,736.50 and 4,698 is: 7,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.67 : 18,736.50 = 4,698 : x
  2. Step 2: Convert to fraction form
    12,494.67/18,736.50 = 4,698/x
  3. Step 3: Cross multiply
    12,494.67x = 18,736.50 × 4,698
  4. Step 4: Simplify right side
    12,494.67x = 88,024,077
  5. Step 5: Solve for x
    x = 88,024,077/12,494.67
  6. Step 6: Final answer
    x = 7,044.93

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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.