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Finding the Fourth Proportional to 7,969.88, 11,954.72 and 3,584.24

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Solution

The fourth proportional to 7,969.88, 11,954.72 and 3,584.24 is: 5,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.88 : 11,954.72 = 3,584.24 : x
  2. Step 2: Convert to fraction form
    7,969.88/11,954.72 = 3,584.24/x
  3. Step 3: Cross multiply
    7,969.88x = 11,954.72 × 3,584.24
  4. Step 4: Simplify right side
    7,969.88x = 42,848,567.69
  5. Step 5: Solve for x
    x = 42,848,567.69/7,969.88
  6. Step 6: Final answer
    x = 5,376.31

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1.5x scale

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.