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Finding the Fourth Proportional to 23,884.68, 35,827.82 and 10,737.09

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Solution

The fourth proportional to 23,884.68, 35,827.82 and 10,737.09 is: 16,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.68 : 35,827.82 = 10,737.09 : x
  2. Step 2: Convert to fraction form
    23,884.68/35,827.82 = 10,737.09/x
  3. Step 3: Cross multiply
    23,884.68x = 35,827.82 × 10,737.09
  4. Step 4: Simplify right side
    23,884.68x = 384,686,474.16
  5. Step 5: Solve for x
    x = 384,686,474.16/23,884.68
  6. Step 6: Final answer
    x = 16,105.99

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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.