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Finding the Fourth Proportional to 6,716.44, 10,074.75 and 2,334

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Solution

The fourth proportional to 6,716.44, 10,074.75 and 2,334 is: 3,501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.44 : 10,074.75 = 2,334 : x
  2. Step 2: Convert to fraction form
    6,716.44/10,074.75 = 2,334/x
  3. Step 3: Cross multiply
    6,716.44x = 10,074.75 × 2,334
  4. Step 4: Simplify right side
    6,716.44x = 23,514,466.50
  5. Step 5: Solve for x
    x = 23,514,466.50/6,716.44
  6. Step 6: Final answer
    x = 3,501.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.