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Finding the Fourth Proportional to 6,754.29, 10,119.81 and 6,069.50

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Solution

The fourth proportional to 6,754.29, 10,119.81 and 6,069.50 is: 9,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.29 : 10,119.81 = 6,069.50 : x
  2. Step 2: Convert to fraction form
    6,754.29/10,119.81 = 6,069.50/x
  3. Step 3: Cross multiply
    6,754.29x = 10,119.81 × 6,069.50
  4. Step 4: Simplify right side
    6,754.29x = 61,422,136.20
  5. Step 5: Solve for x
    x = 61,422,136.20/6,754.29
  6. Step 6: Final answer
    x = 9,093.80

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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.