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Finding the Fourth Proportional to 9,950.88, 13,731.36 and 5,759.36

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Solution

The fourth proportional to 9,950.88, 13,731.36 and 5,759.36 is: 7,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.88 : 13,731.36 = 5,759.36 : x
  2. Step 2: Convert to fraction form
    9,950.88/13,731.36 = 5,759.36/x
  3. Step 3: Cross multiply
    9,950.88x = 13,731.36 × 5,759.36
  4. Step 4: Simplify right side
    9,950.88x = 79,083,845.53
  5. Step 5: Solve for x
    x = 79,083,845.53/9,950.88
  6. Step 6: Final answer
    x = 7,947.42

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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.