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Finding the Fourth Proportional to 8,771.94, 13,164.39 and 6,584.94

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Solution

The fourth proportional to 8,771.94, 13,164.39 and 6,584.94 is: 9,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.94 : 13,164.39 = 6,584.94 : x
  2. Step 2: Convert to fraction form
    8,771.94/13,164.39 = 6,584.94/x
  3. Step 3: Cross multiply
    8,771.94x = 13,164.39 × 6,584.94
  4. Step 4: Simplify right side
    8,771.94x = 86,686,718.29
  5. Step 5: Solve for x
    x = 86,686,718.29/8,771.94
  6. Step 6: Final answer
    x = 9,882.27

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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.