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Finding the Fourth Proportional to 10,755.81, 14,843.21 and 5,976.19

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Solution

The fourth proportional to 10,755.81, 14,843.21 and 5,976.19 is: 8,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.81 : 14,843.21 = 5,976.19 : x
  2. Step 2: Convert to fraction form
    10,755.81/14,843.21 = 5,976.19/x
  3. Step 3: Cross multiply
    10,755.81x = 14,843.21 × 5,976.19
  4. Step 4: Simplify right side
    10,755.81x = 88,705,813.29
  5. Step 5: Solve for x
    x = 88,705,813.29/10,755.81
  6. Step 6: Final answer
    x = 8,247.25

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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.