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Finding the Fourth Proportional to 27,647.94, 41,471.88 and 6,871.44

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Solution

The fourth proportional to 27,647.94, 41,471.88 and 6,871.44 is: 10,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.94 : 41,471.88 = 6,871.44 : x
  2. Step 2: Convert to fraction form
    27,647.94/41,471.88 = 6,871.44/x
  3. Step 3: Cross multiply
    27,647.94x = 41,471.88 × 6,871.44
  4. Step 4: Simplify right side
    27,647.94x = 284,971,327.75
  5. Step 5: Solve for x
    x = 284,971,327.75/27,647.94
  6. Step 6: Final answer
    x = 10,307.15

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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.