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Finding the Fourth Proportional to 13,794, 20,694.24 and 4,560

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Solution

The fourth proportional to 13,794, 20,694.24 and 4,560 is: 6,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794 : 20,694.24 = 4,560 : x
  2. Step 2: Convert to fraction form
    13,794/20,694.24 = 4,560/x
  3. Step 3: Cross multiply
    13,794x = 20,694.24 × 4,560
  4. Step 4: Simplify right side
    13,794x = 94,365,734.40
  5. Step 5: Solve for x
    x = 94,365,734.40/13,794
  6. Step 6: Final answer
    x = 6,841.07

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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.