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Finding the Fourth Proportional to 23,757.75, 35,632.76 and 7,969.77

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Solution

The fourth proportional to 23,757.75, 35,632.76 and 7,969.77 is: 11,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.75 : 35,632.76 = 7,969.77 : x
  2. Step 2: Convert to fraction form
    23,757.75/35,632.76 = 7,969.77/x
  3. Step 3: Cross multiply
    23,757.75x = 35,632.76 × 7,969.77
  4. Step 4: Simplify right side
    23,757.75x = 283,984,861.82
  5. Step 5: Solve for x
    x = 283,984,861.82/23,757.75
  6. Step 6: Final answer
    x = 11,953.36

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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.