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Finding the Fourth Proportional to 17,966, 26,949.10 and 6,723.86

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Solution

The fourth proportional to 17,966, 26,949.10 and 6,723.86 is: 10,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966 : 26,949.10 = 6,723.86 : x
  2. Step 2: Convert to fraction form
    17,966/26,949.10 = 6,723.86/x
  3. Step 3: Cross multiply
    17,966x = 26,949.10 × 6,723.86
  4. Step 4: Simplify right side
    17,966x = 181,201,975.53
  5. Step 5: Solve for x
    x = 181,201,975.53/17,966
  6. Step 6: Final answer
    x = 10,085.83

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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.