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Finding the Fourth Proportional to 13,805.82, 20,709.41 and 3,946.54

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Solution

The fourth proportional to 13,805.82, 20,709.41 and 3,946.54 is: 5,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.82 : 20,709.41 = 3,946.54 : x
  2. Step 2: Convert to fraction form
    13,805.82/20,709.41 = 3,946.54/x
  3. Step 3: Cross multiply
    13,805.82x = 20,709.41 × 3,946.54
  4. Step 4: Simplify right side
    13,805.82x = 81,730,514.94
  5. Step 5: Solve for x
    x = 81,730,514.94/13,805.82
  6. Step 6: Final answer
    x = 5,920.00

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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.