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Finding the Fourth Proportional to 7,846.97, 11,771.69 and 2,651.63

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Solution

The fourth proportional to 7,846.97, 11,771.69 and 2,651.63 is: 3,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.97 : 11,771.69 = 2,651.63 : x
  2. Step 2: Convert to fraction form
    7,846.97/11,771.69 = 2,651.63/x
  3. Step 3: Cross multiply
    7,846.97x = 11,771.69 × 2,651.63
  4. Step 4: Simplify right side
    7,846.97x = 31,214,094.24
  5. Step 5: Solve for x
    x = 31,214,094.24/7,846.97
  6. Step 6: Final answer
    x = 3,977.86

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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.