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Finding the Fourth Proportional to 13,713.19, 20,569.78 and 3,324.94

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Solution

The fourth proportional to 13,713.19, 20,569.78 and 3,324.94 is: 4,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.19 : 20,569.78 = 3,324.94 : x
  2. Step 2: Convert to fraction form
    13,713.19/20,569.78 = 3,324.94/x
  3. Step 3: Cross multiply
    13,713.19x = 20,569.78 × 3,324.94
  4. Step 4: Simplify right side
    13,713.19x = 68,393,237.04
  5. Step 5: Solve for x
    x = 68,393,237.04/13,713.19
  6. Step 6: Final answer
    x = 4,987.41

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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.