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Finding the Fourth Proportional to 6,793, 10,192.59 and 4,025.14

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Solution

The fourth proportional to 6,793, 10,192.59 and 4,025.14 is: 6,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793 : 10,192.59 = 4,025.14 : x
  2. Step 2: Convert to fraction form
    6,793/10,192.59 = 4,025.14/x
  3. Step 3: Cross multiply
    6,793x = 10,192.59 × 4,025.14
  4. Step 4: Simplify right side
    6,793x = 41,026,601.71
  5. Step 5: Solve for x
    x = 41,026,601.71/6,793
  6. Step 6: Final answer
    x = 6,039.54

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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.