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Finding the Fourth Proportional to 10,774.37, 14,867.25 and 6,297.23

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Solution

The fourth proportional to 10,774.37, 14,867.25 and 6,297.23 is: 8,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.37 : 14,867.25 = 6,297.23 : x
  2. Step 2: Convert to fraction form
    10,774.37/14,867.25 = 6,297.23/x
  3. Step 3: Cross multiply
    10,774.37x = 14,867.25 × 6,297.23
  4. Step 4: Simplify right side
    10,774.37x = 93,622,418.38
  5. Step 5: Solve for x
    x = 93,622,418.38/10,774.37
  6. Step 6: Final answer
    x = 8,689.37

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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.