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Finding the Fourth Proportional to 9,229.84, 12,738.24 and 5,694.08

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Solution

The fourth proportional to 9,229.84, 12,738.24 and 5,694.08 is: 7,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.84 : 12,738.24 = 5,694.08 : x
  2. Step 2: Convert to fraction form
    9,229.84/12,738.24 = 5,694.08/x
  3. Step 3: Cross multiply
    9,229.84x = 12,738.24 × 5,694.08
  4. Step 4: Simplify right side
    9,229.84x = 72,532,557.62
  5. Step 5: Solve for x
    x = 72,532,557.62/9,229.84
  6. Step 6: Final answer
    x = 7,858.48

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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.