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Finding the Fourth Proportional to 13,662.84, 20,494.41 and 3,802.86

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Solution

The fourth proportional to 13,662.84, 20,494.41 and 3,802.86 is: 5,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.84 : 20,494.41 = 3,802.86 : x
  2. Step 2: Convert to fraction form
    13,662.84/20,494.41 = 3,802.86/x
  3. Step 3: Cross multiply
    13,662.84x = 20,494.41 × 3,802.86
  4. Step 4: Simplify right side
    13,662.84x = 77,937,372.01
  5. Step 5: Solve for x
    x = 77,937,372.01/13,662.84
  6. Step 6: Final answer
    x = 5,704.33

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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.