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Finding the Fourth Proportional to 6,787, 9,366.06 and 3,843

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Solution

The fourth proportional to 6,787, 9,366.06 and 3,843 is: 5,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787 : 9,366.06 = 3,843 : x
  2. Step 2: Convert to fraction form
    6,787/9,366.06 = 3,843/x
  3. Step 3: Cross multiply
    6,787x = 9,366.06 × 3,843
  4. Step 4: Simplify right side
    6,787x = 35,993,768.58
  5. Step 5: Solve for x
    x = 35,993,768.58/6,787
  6. Step 6: Final answer
    x = 5,303.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.