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Finding the Fourth Proportional to 6,737.90, 10,103.07 and 5,174

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Solution

The fourth proportional to 6,737.90, 10,103.07 and 5,174 is: 7,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.90 : 10,103.07 = 5,174 : x
  2. Step 2: Convert to fraction form
    6,737.90/10,103.07 = 5,174/x
  3. Step 3: Cross multiply
    6,737.90x = 10,103.07 × 5,174
  4. Step 4: Simplify right side
    6,737.90x = 52,273,284.18
  5. Step 5: Solve for x
    x = 52,273,284.18/6,737.90
  6. Step 6: Final answer
    x = 7,758.10

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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.