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Finding the Fourth Proportional to 10,933, 16,474 and 9,739.51

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Solution

The fourth proportional to 10,933, 16,474 and 9,739.51 is: 14,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933 : 16,474 = 9,739.51 : x
  2. Step 2: Convert to fraction form
    10,933/16,474 = 9,739.51/x
  3. Step 3: Cross multiply
    10,933x = 16,474 × 9,739.51
  4. Step 4: Simplify right side
    10,933x = 160,448,687.74
  5. Step 5: Solve for x
    x = 160,448,687.74/10,933
  6. Step 6: Final answer
    x = 14,675.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.