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Finding the Fourth Proportional to 19,798.83, 29,698.62 and 6,471.83

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Solution

The fourth proportional to 19,798.83, 29,698.62 and 6,471.83 is: 9,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.83 : 29,698.62 = 6,471.83 : x
  2. Step 2: Convert to fraction form
    19,798.83/29,698.62 = 6,471.83/x
  3. Step 3: Cross multiply
    19,798.83x = 29,698.62 × 6,471.83
  4. Step 4: Simplify right side
    19,798.83x = 192,204,469.85
  5. Step 5: Solve for x
    x = 192,204,469.85/19,798.83
  6. Step 6: Final answer
    x = 9,707.87

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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.