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Finding the Fourth Proportional to 13,267.96, 19,906.26 and 6,343

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Solution

The fourth proportional to 13,267.96, 19,906.26 and 6,343 is: 9,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.96 : 19,906.26 = 6,343 : x
  2. Step 2: Convert to fraction form
    13,267.96/19,906.26 = 6,343/x
  3. Step 3: Cross multiply
    13,267.96x = 19,906.26 × 6,343
  4. Step 4: Simplify right side
    13,267.96x = 126,265,407.18
  5. Step 5: Solve for x
    x = 126,265,407.18/13,267.96
  6. Step 6: Final answer
    x = 9,516.57

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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.