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Finding the Fourth Proportional to 23,761, 35,635.83 and 7,966.59

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Solution

The fourth proportional to 23,761, 35,635.83 and 7,966.59 is: 11,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761 : 35,635.83 = 7,966.59 : x
  2. Step 2: Convert to fraction form
    23,761/35,635.83 = 7,966.59/x
  3. Step 3: Cross multiply
    23,761x = 35,635.83 × 7,966.59
  4. Step 4: Simplify right side
    23,761x = 283,896,046.92
  5. Step 5: Solve for x
    x = 283,896,046.92/23,761
  6. Step 6: Final answer
    x = 11,947.98

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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.