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Finding the Fourth Proportional to 6,584.30, 9,866.49 and 2,884.46

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Solution

The fourth proportional to 6,584.30, 9,866.49 and 2,884.46 is: 4,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.30 : 9,866.49 = 2,884.46 : x
  2. Step 2: Convert to fraction form
    6,584.30/9,866.49 = 2,884.46/x
  3. Step 3: Cross multiply
    6,584.30x = 9,866.49 × 2,884.46
  4. Step 4: Simplify right side
    6,584.30x = 28,459,495.75
  5. Step 5: Solve for x
    x = 28,459,495.75/6,584.30
  6. Step 6: Final answer
    x = 4,322.33

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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.