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Finding the Fourth Proportional to 6,974.78, 9,625.32 and 3,830.94

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Solution

The fourth proportional to 6,974.78, 9,625.32 and 3,830.94 is: 5,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.78 : 9,625.32 = 3,830.94 : x
  2. Step 2: Convert to fraction form
    6,974.78/9,625.32 = 3,830.94/x
  3. Step 3: Cross multiply
    6,974.78x = 9,625.32 × 3,830.94
  4. Step 4: Simplify right side
    6,974.78x = 36,874,023.40
  5. Step 5: Solve for x
    x = 36,874,023.40/6,974.78
  6. Step 6: Final answer
    x = 5,286.77

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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.