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Finding the Fourth Proportional to 25,997.63, 35,874 and 19,195.27

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Solution

The fourth proportional to 25,997.63, 35,874 and 19,195.27 is: 26,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.63 : 35,874 = 19,195.27 : x
  2. Step 2: Convert to fraction form
    25,997.63/35,874 = 19,195.27/x
  3. Step 3: Cross multiply
    25,997.63x = 35,874 × 19,195.27
  4. Step 4: Simplify right side
    25,997.63x = 688,611,026.30
  5. Step 5: Solve for x
    x = 688,611,026.30/25,997.63
  6. Step 6: Final answer
    x = 26,487.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.