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Finding the Fourth Proportional to 6,511.57, 9,767.63 and 1,894.57

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Solution

The fourth proportional to 6,511.57, 9,767.63 and 1,894.57 is: 2,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.57 : 9,767.63 = 1,894.57 : x
  2. Step 2: Convert to fraction form
    6,511.57/9,767.63 = 1,894.57/x
  3. Step 3: Cross multiply
    6,511.57x = 9,767.63 × 1,894.57
  4. Step 4: Simplify right side
    6,511.57x = 18,505,458.77
  5. Step 5: Solve for x
    x = 18,505,458.77/6,511.57
  6. Step 6: Final answer
    x = 2,841.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.