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Finding the Fourth Proportional to 6,729.64, 10,093.74 and 2,347

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Solution

The fourth proportional to 6,729.64, 10,093.74 and 2,347 is: 3,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.64 : 10,093.74 = 2,347 : x
  2. Step 2: Convert to fraction form
    6,729.64/10,093.74 = 2,347/x
  3. Step 3: Cross multiply
    6,729.64x = 10,093.74 × 2,347
  4. Step 4: Simplify right side
    6,729.64x = 23,690,007.78
  5. Step 5: Solve for x
    x = 23,690,007.78/6,729.64
  6. Step 6: Final answer
    x = 3,520.25

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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.