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Finding the Fourth Proportional to 6,511.92, 9,716.19 and 6,362.60

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Solution

The fourth proportional to 6,511.92, 9,716.19 and 6,362.60 is: 9,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.92 : 9,716.19 = 6,362.60 : x
  2. Step 2: Convert to fraction form
    6,511.92/9,716.19 = 6,362.60/x
  3. Step 3: Cross multiply
    6,511.92x = 9,716.19 × 6,362.60
  4. Step 4: Simplify right side
    6,511.92x = 61,820,230.49
  5. Step 5: Solve for x
    x = 61,820,230.49/6,511.92
  6. Step 6: Final answer
    x = 9,493.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.