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Finding the Fourth Proportional to 13,598, 20,399.16 and 6,202.40

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Solution

The fourth proportional to 13,598, 20,399.16 and 6,202.40 is: 9,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598 : 20,399.16 = 6,202.40 : x
  2. Step 2: Convert to fraction form
    13,598/20,399.16 = 6,202.40/x
  3. Step 3: Cross multiply
    13,598x = 20,399.16 × 6,202.40
  4. Step 4: Simplify right side
    13,598x = 126,523,749.98
  5. Step 5: Solve for x
    x = 126,523,749.98/13,598
  6. Step 6: Final answer
    x = 9,304.59

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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.