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Finding the Fourth Proportional to 6,766.29, 10,137.83 and 6,081.50

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Solution

The fourth proportional to 6,766.29, 10,137.83 and 6,081.50 is: 9,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.29 : 10,137.83 = 6,081.50 : x
  2. Step 2: Convert to fraction form
    6,766.29/10,137.83 = 6,081.50/x
  3. Step 3: Cross multiply
    6,766.29x = 10,137.83 × 6,081.50
  4. Step 4: Simplify right side
    6,766.29x = 61,653,208.08
  5. Step 5: Solve for x
    x = 61,653,208.08/6,766.29
  6. Step 6: Final answer
    x = 9,111.82

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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.