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Finding the Fourth Proportional to 13,950.31, 19,249.09 and 8,361.31

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Solution

The fourth proportional to 13,950.31, 19,249.09 and 8,361.31 is: 11,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.31 : 19,249.09 = 8,361.31 : x
  2. Step 2: Convert to fraction form
    13,950.31/19,249.09 = 8,361.31/x
  3. Step 3: Cross multiply
    13,950.31x = 19,249.09 × 8,361.31
  4. Step 4: Simplify right side
    13,950.31x = 160,947,608.71
  5. Step 5: Solve for x
    x = 160,947,608.71/13,950.31
  6. Step 6: Final answer
    x = 11,537.21

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1.5x scale

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.