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Finding the Fourth Proportional to 6,568.71, 9,064.81 and 3,584.54

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Solution

The fourth proportional to 6,568.71, 9,064.81 and 3,584.54 is: 4,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.71 : 9,064.81 = 3,584.54 : x
  2. Step 2: Convert to fraction form
    6,568.71/9,064.81 = 3,584.54/x
  3. Step 3: Cross multiply
    6,568.71x = 9,064.81 × 3,584.54
  4. Step 4: Simplify right side
    6,568.71x = 32,493,174.04
  5. Step 5: Solve for x
    x = 32,493,174.04/6,568.71
  6. Step 6: Final answer
    x = 4,946.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.