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Finding the Fourth Proportional to 6,526.88, 9,792 and 2,144.37

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Solution

The fourth proportional to 6,526.88, 9,792 and 2,144.37 is: 3,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.88 : 9,792 = 2,144.37 : x
  2. Step 2: Convert to fraction form
    6,526.88/9,792 = 2,144.37/x
  3. Step 3: Cross multiply
    6,526.88x = 9,792 × 2,144.37
  4. Step 4: Simplify right side
    6,526.88x = 20,997,671.04
  5. Step 5: Solve for x
    x = 20,997,671.04/6,526.88
  6. Step 6: Final answer
    x = 3,217.11

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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.