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Finding the Fourth Proportional to 23,758.54, 35,645.73 and 7,965.14

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Solution

The fourth proportional to 23,758.54, 35,645.73 and 7,965.14 is: 11,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.54 : 35,645.73 = 7,965.14 : x
  2. Step 2: Convert to fraction form
    23,758.54/35,645.73 = 7,965.14/x
  3. Step 3: Cross multiply
    23,758.54x = 35,645.73 × 7,965.14
  4. Step 4: Simplify right side
    23,758.54x = 283,923,066.56
  5. Step 5: Solve for x
    x = 283,923,066.56/23,758.54
  6. Step 6: Final answer
    x = 11,950.36

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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.