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Finding the Fourth Proportional to 9,673.73, 13,348.73 and 5,694.60

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Solution

The fourth proportional to 9,673.73, 13,348.73 and 5,694.60 is: 7,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.73 : 13,348.73 = 5,694.60 : x
  2. Step 2: Convert to fraction form
    9,673.73/13,348.73 = 5,694.60/x
  3. Step 3: Cross multiply
    9,673.73x = 13,348.73 × 5,694.60
  4. Step 4: Simplify right side
    9,673.73x = 76,015,692.09
  5. Step 5: Solve for x
    x = 76,015,692.09/9,673.73
  6. Step 6: Final answer
    x = 7,857.95

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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.