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Finding the Fourth Proportional to 11,193, 15,446.34 and 6,225

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Solution

The fourth proportional to 11,193, 15,446.34 and 6,225 is: 8,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193 : 15,446.34 = 6,225 : x
  2. Step 2: Convert to fraction form
    11,193/15,446.34 = 6,225/x
  3. Step 3: Cross multiply
    11,193x = 15,446.34 × 6,225
  4. Step 4: Simplify right side
    11,193x = 96,153,466.50
  5. Step 5: Solve for x
    x = 96,153,466.50/11,193
  6. Step 6: Final answer
    x = 8,590.50

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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.