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Finding the Fourth Proportional to 19,949.90, 29,924.82 and 6,098.90

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Solution

The fourth proportional to 19,949.90, 29,924.82 and 6,098.90 is: 9,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.90 : 29,924.82 = 6,098.90 : x
  2. Step 2: Convert to fraction form
    19,949.90/29,924.82 = 6,098.90/x
  3. Step 3: Cross multiply
    19,949.90x = 29,924.82 × 6,098.90
  4. Step 4: Simplify right side
    19,949.90x = 182,508,484.70
  5. Step 5: Solve for x
    x = 182,508,484.70/19,949.90
  6. Step 6: Final answer
    x = 9,148.34

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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.