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Finding the Fourth Proportional to 13,797, 20,695.91 and 4,437.97

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Solution

The fourth proportional to 13,797, 20,695.91 and 4,437.97 is: 6,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797 : 20,695.91 = 4,437.97 : x
  2. Step 2: Convert to fraction form
    13,797/20,695.91 = 4,437.97/x
  3. Step 3: Cross multiply
    13,797x = 20,695.91 × 4,437.97
  4. Step 4: Simplify right side
    13,797x = 91,847,753.77
  5. Step 5: Solve for x
    x = 91,847,753.77/13,797
  6. Step 6: Final answer
    x = 6,657.08

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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.