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Finding the Fourth Proportional to 19,828.56, 29,745.84 and 6,679.84

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Solution

The fourth proportional to 19,828.56, 29,745.84 and 6,679.84 is: 10,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.56 : 29,745.84 = 6,679.84 : x
  2. Step 2: Convert to fraction form
    19,828.56/29,745.84 = 6,679.84/x
  3. Step 3: Cross multiply
    19,828.56x = 29,745.84 × 6,679.84
  4. Step 4: Simplify right side
    19,828.56x = 198,697,451.87
  5. Step 5: Solve for x
    x = 198,697,451.87/19,828.56
  6. Step 6: Final answer
    x = 10,020.77

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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.