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Finding the Fourth Proportional to 15,034.44, 22,553.82 and 4,647

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Solution

The fourth proportional to 15,034.44, 22,553.82 and 4,647 is: 6,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034.44 : 22,553.82 = 4,647 : x
  2. Step 2: Convert to fraction form
    15,034.44/22,553.82 = 4,647/x
  3. Step 3: Cross multiply
    15,034.44x = 22,553.82 × 4,647
  4. Step 4: Simplify right side
    15,034.44x = 104,807,601.54
  5. Step 5: Solve for x
    x = 104,807,601.54/15,034.44
  6. Step 6: Final answer
    x = 6,971.17

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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.