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Finding the Fourth Proportional to 13,797, 20,698.74 and 4,563

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Solution

The fourth proportional to 13,797, 20,698.74 and 4,563 is: 6,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797 : 20,698.74 = 4,563 : x
  2. Step 2: Convert to fraction form
    13,797/20,698.74 = 4,563/x
  3. Step 3: Cross multiply
    13,797x = 20,698.74 × 4,563
  4. Step 4: Simplify right side
    13,797x = 94,448,350.62
  5. Step 5: Solve for x
    x = 94,448,350.62/13,797
  6. Step 6: Final answer
    x = 6,845.57

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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.