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Finding the Fourth Proportional to 10,589, 15,880.30 and 3,192.84

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Solution

The fourth proportional to 10,589, 15,880.30 and 3,192.84 is: 4,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589 : 15,880.30 = 3,192.84 : x
  2. Step 2: Convert to fraction form
    10,589/15,880.30 = 3,192.84/x
  3. Step 3: Cross multiply
    10,589x = 15,880.30 × 3,192.84
  4. Step 4: Simplify right side
    10,589x = 50,703,257.05
  5. Step 5: Solve for x
    x = 50,703,257.05/10,589
  6. Step 6: Final answer
    x = 4,788.30

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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.