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Finding the Fourth Proportional to 12,750.25, 19,097.69 and 6,162.63

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Solution

The fourth proportional to 12,750.25, 19,097.69 and 6,162.63 is: 9,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.25 : 19,097.69 = 6,162.63 : x
  2. Step 2: Convert to fraction form
    12,750.25/19,097.69 = 6,162.63/x
  3. Step 3: Cross multiply
    12,750.25x = 19,097.69 × 6,162.63
  4. Step 4: Simplify right side
    12,750.25x = 117,691,997.32
  5. Step 5: Solve for x
    x = 117,691,997.32/12,750.25
  6. Step 6: Final answer
    x = 9,230.56

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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.