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Finding the Fourth Proportional to 7,394.25, 10,222.29 and 7,084.44

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Solution

The fourth proportional to 7,394.25, 10,222.29 and 7,084.44 is: 9,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.25 : 10,222.29 = 7,084.44 : x
  2. Step 2: Convert to fraction form
    7,394.25/10,222.29 = 7,084.44/x
  3. Step 3: Cross multiply
    7,394.25x = 10,222.29 × 7,084.44
  4. Step 4: Simplify right side
    7,394.25x = 72,419,200.17
  5. Step 5: Solve for x
    x = 72,419,200.17/7,394.25
  6. Step 6: Final answer
    x = 9,793.99

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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.