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Finding the Fourth Proportional to 6,568.68, 9,847.47 and 3,056.87

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Solution

The fourth proportional to 6,568.68, 9,847.47 and 3,056.87 is: 4,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.68 : 9,847.47 = 3,056.87 : x
  2. Step 2: Convert to fraction form
    6,568.68/9,847.47 = 3,056.87/x
  3. Step 3: Cross multiply
    6,568.68x = 9,847.47 × 3,056.87
  4. Step 4: Simplify right side
    6,568.68x = 30,102,435.62
  5. Step 5: Solve for x
    x = 30,102,435.62/6,568.68
  6. Step 6: Final answer
    x = 4,582.72

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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.