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Finding the Fourth Proportional to 7,846.68, 11,771.22 and 2,651.16

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Solution

The fourth proportional to 7,846.68, 11,771.22 and 2,651.16 is: 3,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.68 : 11,771.22 = 2,651.16 : x
  2. Step 2: Convert to fraction form
    7,846.68/11,771.22 = 2,651.16/x
  3. Step 3: Cross multiply
    7,846.68x = 11,771.22 × 2,651.16
  4. Step 4: Simplify right side
    7,846.68x = 31,207,387.62
  5. Step 5: Solve for x
    x = 31,207,387.62/7,846.68
  6. Step 6: Final answer
    x = 3,977.15

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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.