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Finding the Fourth Proportional to 6,468.68, 9,688.43 and 3,866.15

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Solution

The fourth proportional to 6,468.68, 9,688.43 and 3,866.15 is: 5,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.68 : 9,688.43 = 3,866.15 : x
  2. Step 2: Convert to fraction form
    6,468.68/9,688.43 = 3,866.15/x
  3. Step 3: Cross multiply
    6,468.68x = 9,688.43 × 3,866.15
  4. Step 4: Simplify right side
    6,468.68x = 37,456,855.87
  5. Step 5: Solve for x
    x = 37,456,855.87/6,468.68
  6. Step 6: Final answer
    x = 5,790.50

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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.