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Finding the Fourth Proportional to 6,584.94, 9,862.83 and 6,452.10

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Solution

The fourth proportional to 6,584.94, 9,862.83 and 6,452.10 is: 9,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.94 : 9,862.83 = 6,452.10 : x
  2. Step 2: Convert to fraction form
    6,584.94/9,862.83 = 6,452.10/x
  3. Step 3: Cross multiply
    6,584.94x = 9,862.83 × 6,452.10
  4. Step 4: Simplify right side
    6,584.94x = 63,635,965.44
  5. Step 5: Solve for x
    x = 63,635,965.44/6,584.94
  6. Step 6: Final answer
    x = 9,663.86

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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.