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Finding the Fourth Proportional to 25,311, 37,966.56 and 6,843

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Solution

The fourth proportional to 25,311, 37,966.56 and 6,843 is: 10,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311 : 37,966.56 = 6,843 : x
  2. Step 2: Convert to fraction form
    25,311/37,966.56 = 6,843/x
  3. Step 3: Cross multiply
    25,311x = 37,966.56 × 6,843
  4. Step 4: Simplify right side
    25,311x = 259,805,170.08
  5. Step 5: Solve for x
    x = 259,805,170.08/25,311
  6. Step 6: Final answer
    x = 10,264.52

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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.