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Finding the Fourth Proportional to 6,737.54, 10,107.91 and 2,120.50

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Solution

The fourth proportional to 6,737.54, 10,107.91 and 2,120.50 is: 3,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.54 : 10,107.91 = 2,120.50 : x
  2. Step 2: Convert to fraction form
    6,737.54/10,107.91 = 2,120.50/x
  3. Step 3: Cross multiply
    6,737.54x = 10,107.91 × 2,120.50
  4. Step 4: Simplify right side
    6,737.54x = 21,433,823.16
  5. Step 5: Solve for x
    x = 21,433,823.16/6,737.54
  6. Step 6: Final answer
    x = 3,181.25

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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.