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Finding the Fourth Proportional to 6,842.92, 10,263.26 and 3,145

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Solution

The fourth proportional to 6,842.92, 10,263.26 and 3,145 is: 4,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.92 : 10,263.26 = 3,145 : x
  2. Step 2: Convert to fraction form
    6,842.92/10,263.26 = 3,145/x
  3. Step 3: Cross multiply
    6,842.92x = 10,263.26 × 3,145
  4. Step 4: Simplify right side
    6,842.92x = 32,277,952.70
  5. Step 5: Solve for x
    x = 32,277,952.70/6,842.92
  6. Step 6: Final answer
    x = 4,716.99

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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.