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Finding the Fourth Proportional to 9,164.97, 13,738.07 and 3,616.07

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Solution

The fourth proportional to 9,164.97, 13,738.07 and 3,616.07 is: 5,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.97 : 13,738.07 = 3,616.07 : x
  2. Step 2: Convert to fraction form
    9,164.97/13,738.07 = 3,616.07/x
  3. Step 3: Cross multiply
    9,164.97x = 13,738.07 × 3,616.07
  4. Step 4: Simplify right side
    9,164.97x = 49,677,736.01
  5. Step 5: Solve for x
    x = 49,677,736.01/9,164.97
  6. Step 6: Final answer
    x = 5,420.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.