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Finding the Fourth Proportional to 13,596, 20,396.16 and 6,200.40

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Solution

The fourth proportional to 13,596, 20,396.16 and 6,200.40 is: 9,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596 : 20,396.16 = 6,200.40 : x
  2. Step 2: Convert to fraction form
    13,596/20,396.16 = 6,200.40/x
  3. Step 3: Cross multiply
    13,596x = 20,396.16 × 6,200.40
  4. Step 4: Simplify right side
    13,596x = 126,464,350.46
  5. Step 5: Solve for x
    x = 126,464,350.46/13,596
  6. Step 6: Final answer
    x = 9,301.59

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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.