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Finding the Fourth Proportional to 11,229.70, 15,496.70 and 6,193.90

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Solution

The fourth proportional to 11,229.70, 15,496.70 and 6,193.90 is: 8,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.70 : 15,496.70 = 6,193.90 : x
  2. Step 2: Convert to fraction form
    11,229.70/15,496.70 = 6,193.90/x
  3. Step 3: Cross multiply
    11,229.70x = 15,496.70 × 6,193.90
  4. Step 4: Simplify right side
    11,229.70x = 95,985,010.13
  5. Step 5: Solve for x
    x = 95,985,010.13/11,229.70
  6. Step 6: Final answer
    x = 8,547.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.