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Finding the Fourth Proportional to 6,166.70, 8,504.07 and 5,222.42

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Solution

The fourth proportional to 6,166.70, 8,504.07 and 5,222.42 is: 7,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.70 : 8,504.07 = 5,222.42 : x
  2. Step 2: Convert to fraction form
    6,166.70/8,504.07 = 5,222.42/x
  3. Step 3: Cross multiply
    6,166.70x = 8,504.07 × 5,222.42
  4. Step 4: Simplify right side
    6,166.70x = 44,411,825.25
  5. Step 5: Solve for x
    x = 44,411,825.25/6,166.70
  6. Step 6: Final answer
    x = 7,201.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.