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Finding the Fourth Proportional to 17,849.82, 26,739 and 8,498.90

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Solution

The fourth proportional to 17,849.82, 26,739 and 8,498.90 is: 12,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,849.82 : 26,739 = 8,498.90 : x
  2. Step 2: Convert to fraction form
    17,849.82/26,739 = 8,498.90/x
  3. Step 3: Cross multiply
    17,849.82x = 26,739 × 8,498.90
  4. Step 4: Simplify right side
    17,849.82x = 227,252,087.10
  5. Step 5: Solve for x
    x = 227,252,087.10/17,849.82
  6. Step 6: Final answer
    x = 12,731.34

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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.