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Finding the Fourth Proportional to 6,992.82, 10,489.32 and 1,798.70

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Solution

The fourth proportional to 6,992.82, 10,489.32 and 1,798.70 is: 2,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.82 : 10,489.32 = 1,798.70 : x
  2. Step 2: Convert to fraction form
    6,992.82/10,489.32 = 1,798.70/x
  3. Step 3: Cross multiply
    6,992.82x = 10,489.32 × 1,798.70
  4. Step 4: Simplify right side
    6,992.82x = 18,867,087.44
  5. Step 5: Solve for x
    x = 18,867,087.44/6,992.82
  6. Step 6: Final answer
    x = 2,698.07

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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.