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Finding the Fourth Proportional to 13,162, 19,752.72 and 6,236.50

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Solution

The fourth proportional to 13,162, 19,752.72 and 6,236.50 is: 9,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162 : 19,752.72 = 6,236.50 : x
  2. Step 2: Convert to fraction form
    13,162/19,752.72 = 6,236.50/x
  3. Step 3: Cross multiply
    13,162x = 19,752.72 × 6,236.50
  4. Step 4: Simplify right side
    13,162x = 123,187,838.28
  5. Step 5: Solve for x
    x = 123,187,838.28/13,162
  6. Step 6: Final answer
    x = 9,359.36

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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.