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Finding the Fourth Proportional to 12,491.26, 18,735 and 4,698.26

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Solution

The fourth proportional to 12,491.26, 18,735 and 4,698.26 is: 7,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.26 : 18,735 = 4,698.26 : x
  2. Step 2: Convert to fraction form
    12,491.26/18,735 = 4,698.26/x
  3. Step 3: Cross multiply
    12,491.26x = 18,735 × 4,698.26
  4. Step 4: Simplify right side
    12,491.26x = 88,021,901.10
  5. Step 5: Solve for x
    x = 88,021,901.10/12,491.26
  6. Step 6: Final answer
    x = 7,046.68

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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.