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Finding the Fourth Proportional to 6,786, 10,182.84 and 3,138

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Solution

The fourth proportional to 6,786, 10,182.84 and 3,138 is: 4,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 10,182.84 = 3,138 : x
  2. Step 2: Convert to fraction form
    6,786/10,182.84 = 3,138/x
  3. Step 3: Cross multiply
    6,786x = 10,182.84 × 3,138
  4. Step 4: Simplify right side
    6,786x = 31,953,751.92
  5. Step 5: Solve for x
    x = 31,953,751.92/6,786
  6. Step 6: Final answer
    x = 4,708.78

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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.