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Finding the Fourth Proportional to 5,222.88, 7,163.46 and 4,940.46

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Solution

The fourth proportional to 5,222.88, 7,163.46 and 4,940.46 is: 6,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.88 : 7,163.46 = 4,940.46 : x
  2. Step 2: Convert to fraction form
    5,222.88/7,163.46 = 4,940.46/x
  3. Step 3: Cross multiply
    5,222.88x = 7,163.46 × 4,940.46
  4. Step 4: Simplify right side
    5,222.88x = 35,390,787.59
  5. Step 5: Solve for x
    x = 35,390,787.59/5,222.88
  6. Step 6: Final answer
    x = 6,776.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.