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Finding the Fourth Proportional to 8,634.50, 11,914.14 and 4,857.14

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Solution

The fourth proportional to 8,634.50, 11,914.14 and 4,857.14 is: 6,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.50 : 11,914.14 = 4,857.14 : x
  2. Step 2: Convert to fraction form
    8,634.50/11,914.14 = 4,857.14/x
  3. Step 3: Cross multiply
    8,634.50x = 11,914.14 × 4,857.14
  4. Step 4: Simplify right side
    8,634.50x = 57,868,645.96
  5. Step 5: Solve for x
    x = 57,868,645.96/8,634.50
  6. Step 6: Final answer
    x = 6,702.03

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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.