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Finding the Fourth Proportional to 11,213, 15,473.94 and 6,245

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Solution

The fourth proportional to 11,213, 15,473.94 and 6,245 is: 8,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213 : 15,473.94 = 6,245 : x
  2. Step 2: Convert to fraction form
    11,213/15,473.94 = 6,245/x
  3. Step 3: Cross multiply
    11,213x = 15,473.94 × 6,245
  4. Step 4: Simplify right side
    11,213x = 96,634,755.30
  5. Step 5: Solve for x
    x = 96,634,755.30/11,213
  6. Step 6: Final answer
    x = 8,618.10

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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.