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Finding the Fourth Proportional to 23,762.58, 35,651.79 and 7,969.17

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Solution

The fourth proportional to 23,762.58, 35,651.79 and 7,969.17 is: 11,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.58 : 35,651.79 = 7,969.17 : x
  2. Step 2: Convert to fraction form
    23,762.58/35,651.79 = 7,969.17/x
  3. Step 3: Cross multiply
    23,762.58x = 35,651.79 × 7,969.17
  4. Step 4: Simplify right side
    23,762.58x = 284,115,175.31
  5. Step 5: Solve for x
    x = 284,115,175.31/23,762.58
  6. Step 6: Final answer
    x = 11,956.41

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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.