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Finding the Fourth Proportional to 7,226.28, 9,971.22 and 4,394.25

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Solution

The fourth proportional to 7,226.28, 9,971.22 and 4,394.25 is: 6,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.28 : 9,971.22 = 4,394.25 : x
  2. Step 2: Convert to fraction form
    7,226.28/9,971.22 = 4,394.25/x
  3. Step 3: Cross multiply
    7,226.28x = 9,971.22 × 4,394.25
  4. Step 4: Simplify right side
    7,226.28x = 43,816,033.49
  5. Step 5: Solve for x
    x = 43,816,033.49/7,226.28
  6. Step 6: Final answer
    x = 6,063.43

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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.