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Finding the Fourth Proportional to 6,710.50, 10,067.54 and 2,327.95

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Solution

The fourth proportional to 6,710.50, 10,067.54 and 2,327.95 is: 3,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.50 : 10,067.54 = 2,327.95 : x
  2. Step 2: Convert to fraction form
    6,710.50/10,067.54 = 2,327.95/x
  3. Step 3: Cross multiply
    6,710.50x = 10,067.54 × 2,327.95
  4. Step 4: Simplify right side
    6,710.50x = 23,436,718.10
  5. Step 5: Solve for x
    x = 23,436,718.10/6,710.50
  6. Step 6: Final answer
    x = 3,492.54

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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.