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Finding the Fourth Proportional to 8,114.54, 11,198.21 and 4,759.77

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Solution

The fourth proportional to 8,114.54, 11,198.21 and 4,759.77 is: 6,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.54 : 11,198.21 = 4,759.77 : x
  2. Step 2: Convert to fraction form
    8,114.54/11,198.21 = 4,759.77/x
  3. Step 3: Cross multiply
    8,114.54x = 11,198.21 × 4,759.77
  4. Step 4: Simplify right side
    8,114.54x = 53,300,948.98
  5. Step 5: Solve for x
    x = 53,300,948.98/8,114.54
  6. Step 6: Final answer
    x = 6,568.57

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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.