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Finding the Fourth Proportional to 6,754.64, 10,137.98 and 6,729.53

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Solution

The fourth proportional to 6,754.64, 10,137.98 and 6,729.53 is: 10,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.64 : 10,137.98 = 6,729.53 : x
  2. Step 2: Convert to fraction form
    6,754.64/10,137.98 = 6,729.53/x
  3. Step 3: Cross multiply
    6,754.64x = 10,137.98 × 6,729.53
  4. Step 4: Simplify right side
    6,754.64x = 68,223,756.21
  5. Step 5: Solve for x
    x = 68,223,756.21/6,754.64
  6. Step 6: Final answer
    x = 10,100.29

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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.