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Finding the Fourth Proportional to 11,698.97, 17,546.54 and 3,907.76

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Solution

The fourth proportional to 11,698.97, 17,546.54 and 3,907.76 is: 5,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.97 : 17,546.54 = 3,907.76 : x
  2. Step 2: Convert to fraction form
    11,698.97/17,546.54 = 3,907.76/x
  3. Step 3: Cross multiply
    11,698.97x = 17,546.54 × 3,907.76
  4. Step 4: Simplify right side
    11,698.97x = 68,567,559.88
  5. Step 5: Solve for x
    x = 68,567,559.88/11,698.97
  6. Step 6: Final answer
    x = 5,860.99

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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.