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Finding the Fourth Proportional to 6,112.35, 9,168.52 and 2,166.50

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Solution

The fourth proportional to 6,112.35, 9,168.52 and 2,166.50 is: 3,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.35 : 9,168.52 = 2,166.50 : x
  2. Step 2: Convert to fraction form
    6,112.35/9,168.52 = 2,166.50/x
  3. Step 3: Cross multiply
    6,112.35x = 9,168.52 × 2,166.50
  4. Step 4: Simplify right side
    6,112.35x = 19,863,598.58
  5. Step 5: Solve for x
    x = 19,863,598.58/6,112.35
  6. Step 6: Final answer
    x = 3,249.75

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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.