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Finding the Fourth Proportional to 6,703.92, 10,027.17 and 4,834.08

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Solution

The fourth proportional to 6,703.92, 10,027.17 and 4,834.08 is: 7,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.92 : 10,027.17 = 4,834.08 : x
  2. Step 2: Convert to fraction form
    6,703.92/10,027.17 = 4,834.08/x
  3. Step 3: Cross multiply
    6,703.92x = 10,027.17 × 4,834.08
  4. Step 4: Simplify right side
    6,703.92x = 48,472,141.95
  5. Step 5: Solve for x
    x = 48,472,141.95/6,703.92
  6. Step 6: Final answer
    x = 7,230.42

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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.