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Finding the Fourth Proportional to 7,774.75, 11,662.26 and 2,844.38

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Solution

The fourth proportional to 7,774.75, 11,662.26 and 2,844.38 is: 4,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.75 : 11,662.26 = 2,844.38 : x
  2. Step 2: Convert to fraction form
    7,774.75/11,662.26 = 2,844.38/x
  3. Step 3: Cross multiply
    7,774.75x = 11,662.26 × 2,844.38
  4. Step 4: Simplify right side
    7,774.75x = 33,171,899.10
  5. Step 5: Solve for x
    x = 33,171,899.10/7,774.75
  6. Step 6: Final answer
    x = 4,266.62

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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.