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Finding the Fourth Proportional to 7,843.99, 10,824.74 and 4,486.84

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Solution

The fourth proportional to 7,843.99, 10,824.74 and 4,486.84 is: 6,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.99 : 10,824.74 = 4,486.84 : x
  2. Step 2: Convert to fraction form
    7,843.99/10,824.74 = 4,486.84/x
  3. Step 3: Cross multiply
    7,843.99x = 10,824.74 × 4,486.84
  4. Step 4: Simplify right side
    7,843.99x = 48,568,799.86
  5. Step 5: Solve for x
    x = 48,568,799.86/7,843.99
  6. Step 6: Final answer
    x = 6,191.85

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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.