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Finding the Fourth Proportional to 6,737.94, 10,102.34 and 2,353

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Solution

The fourth proportional to 6,737.94, 10,102.34 and 2,353 is: 3,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.94 : 10,102.34 = 2,353 : x
  2. Step 2: Convert to fraction form
    6,737.94/10,102.34 = 2,353/x
  3. Step 3: Cross multiply
    6,737.94x = 10,102.34 × 2,353
  4. Step 4: Simplify right side
    6,737.94x = 23,770,806.02
  5. Step 5: Solve for x
    x = 23,770,806.02/6,737.94
  6. Step 6: Final answer
    x = 3,527.90

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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.