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Finding the Fourth Proportional to 7,748.94, 11,611.89 and 6,371.94

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Solution

The fourth proportional to 7,748.94, 11,611.89 and 6,371.94 is: 9,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.94 : 11,611.89 = 6,371.94 : x
  2. Step 2: Convert to fraction form
    7,748.94/11,611.89 = 6,371.94/x
  3. Step 3: Cross multiply
    7,748.94x = 11,611.89 × 6,371.94
  4. Step 4: Simplify right side
    7,748.94x = 73,990,266.37
  5. Step 5: Solve for x
    x = 73,990,266.37/7,748.94
  6. Step 6: Final answer
    x = 9,548.44

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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.