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Finding the Fourth Proportional to 8,694, 13,036.68 and 3,498.48

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Solution

The fourth proportional to 8,694, 13,036.68 and 3,498.48 is: 5,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694 : 13,036.68 = 3,498.48 : x
  2. Step 2: Convert to fraction form
    8,694/13,036.68 = 3,498.48/x
  3. Step 3: Cross multiply
    8,694x = 13,036.68 × 3,498.48
  4. Step 4: Simplify right side
    8,694x = 45,608,564.25
  5. Step 5: Solve for x
    x = 45,608,564.25/8,694
  6. Step 6: Final answer
    x = 5,245.98

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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.