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Finding the Fourth Proportional to 17,137.31, 25,714.87 and 7,783.97

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Solution

The fourth proportional to 17,137.31, 25,714.87 and 7,783.97 is: 11,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.31 : 25,714.87 = 7,783.97 : x
  2. Step 2: Convert to fraction form
    17,137.31/25,714.87 = 7,783.97/x
  3. Step 3: Cross multiply
    17,137.31x = 25,714.87 × 7,783.97
  4. Step 4: Simplify right side
    17,137.31x = 200,163,628.60
  5. Step 5: Solve for x
    x = 200,163,628.60/17,137.31
  6. Step 6: Final answer
    x = 11,679.99

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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.