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Finding the Fourth Proportional to 7,969.52, 11,954.26 and 2,422.84

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Solution

The fourth proportional to 7,969.52, 11,954.26 and 2,422.84 is: 3,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.52 : 11,954.26 = 2,422.84 : x
  2. Step 2: Convert to fraction form
    7,969.52/11,954.26 = 2,422.84/x
  3. Step 3: Cross multiply
    7,969.52x = 11,954.26 × 2,422.84
  4. Step 4: Simplify right side
    7,969.52x = 28,963,259.30
  5. Step 5: Solve for x
    x = 28,963,259.30/7,969.52
  6. Step 6: Final answer
    x = 3,634.25

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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.