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Finding the Fourth Proportional to 10,811.68, 14,920.14 and 5,843.68

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Solution

The fourth proportional to 10,811.68, 14,920.14 and 5,843.68 is: 8,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.68 : 14,920.14 = 5,843.68 : x
  2. Step 2: Convert to fraction form
    10,811.68/14,920.14 = 5,843.68/x
  3. Step 3: Cross multiply
    10,811.68x = 14,920.14 × 5,843.68
  4. Step 4: Simplify right side
    10,811.68x = 87,188,523.72
  5. Step 5: Solve for x
    x = 87,188,523.72/10,811.68
  6. Step 6: Final answer
    x = 8,064.29

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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.