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Finding the Fourth Proportional to 12,151, 16,768.38 and 6,562

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Solution

The fourth proportional to 12,151, 16,768.38 and 6,562 is: 9,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151 : 16,768.38 = 6,562 : x
  2. Step 2: Convert to fraction form
    12,151/16,768.38 = 6,562/x
  3. Step 3: Cross multiply
    12,151x = 16,768.38 × 6,562
  4. Step 4: Simplify right side
    12,151x = 110,034,109.56
  5. Step 5: Solve for x
    x = 110,034,109.56/12,151
  6. Step 6: Final answer
    x = 9,055.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.