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Finding the Fourth Proportional to 23,589, 35,382.74 and 8,006.76

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Solution

The fourth proportional to 23,589, 35,382.74 and 8,006.76 is: 12,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,589 : 35,382.74 = 8,006.76 : x
  2. Step 2: Convert to fraction form
    23,589/35,382.74 = 8,006.76/x
  3. Step 3: Cross multiply
    23,589x = 35,382.74 × 8,006.76
  4. Step 4: Simplify right side
    23,589x = 283,301,107.32
  5. Step 5: Solve for x
    x = 283,301,107.32/23,589
  6. Step 6: Final answer
    x = 12,009.88

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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.