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Finding the Fourth Proportional to 10,694.52, 14,759.37 and 6,218.01

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Solution

The fourth proportional to 10,694.52, 14,759.37 and 6,218.01 is: 8,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.52 : 14,759.37 = 6,218.01 : x
  2. Step 2: Convert to fraction form
    10,694.52/14,759.37 = 6,218.01/x
  3. Step 3: Cross multiply
    10,694.52x = 14,759.37 × 6,218.01
  4. Step 4: Simplify right side
    10,694.52x = 91,773,910.25
  5. Step 5: Solve for x
    x = 91,773,910.25/10,694.52
  6. Step 6: Final answer
    x = 8,581.40

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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.