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Finding the Fourth Proportional to 6,511.77, 9,764.74 and 3,880.52

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Solution

The fourth proportional to 6,511.77, 9,764.74 and 3,880.52 is: 5,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.77 : 9,764.74 = 3,880.52 : x
  2. Step 2: Convert to fraction form
    6,511.77/9,764.74 = 3,880.52/x
  3. Step 3: Cross multiply
    6,511.77x = 9,764.74 × 3,880.52
  4. Step 4: Simplify right side
    6,511.77x = 37,892,268.86
  5. Step 5: Solve for x
    x = 37,892,268.86/6,511.77
  6. Step 6: Final answer
    x = 5,819.04

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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.