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Finding the Fourth Proportional to 6,001.52, 9,039.14 and 5,083.52

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Solution

The fourth proportional to 6,001.52, 9,039.14 and 5,083.52 is: 7,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.52 : 9,039.14 = 5,083.52 : x
  2. Step 2: Convert to fraction form
    6,001.52/9,039.14 = 5,083.52/x
  3. Step 3: Cross multiply
    6,001.52x = 9,039.14 × 5,083.52
  4. Step 4: Simplify right side
    6,001.52x = 45,950,648.97
  5. Step 5: Solve for x
    x = 45,950,648.97/6,001.52
  6. Step 6: Final answer
    x = 7,656.50

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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.