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Finding the Fourth Proportional to 6,568.62, 9,064.57 and 3,584.38

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Solution

The fourth proportional to 6,568.62, 9,064.57 and 3,584.38 is: 4,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.62 : 9,064.57 = 3,584.38 : x
  2. Step 2: Convert to fraction form
    6,568.62/9,064.57 = 3,584.38/x
  3. Step 3: Cross multiply
    6,568.62x = 9,064.57 × 3,584.38
  4. Step 4: Simplify right side
    6,568.62x = 32,490,800.17
  5. Step 5: Solve for x
    x = 32,490,800.17/6,568.62
  6. Step 6: Final answer
    x = 4,946.37

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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.