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Finding the Fourth Proportional to 19,828.81, 29,745.97 and 6,684.94

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Solution

The fourth proportional to 19,828.81, 29,745.97 and 6,684.94 is: 10,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.81 : 29,745.97 = 6,684.94 : x
  2. Step 2: Convert to fraction form
    19,828.81/29,745.97 = 6,684.94/x
  3. Step 3: Cross multiply
    19,828.81x = 29,745.97 × 6,684.94
  4. Step 4: Simplify right side
    19,828.81x = 198,850,024.69
  5. Step 5: Solve for x
    x = 198,850,024.69/19,828.81
  6. Step 6: Final answer
    x = 10,028.34

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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.