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Finding the Fourth Proportional to 13,881.20, 20,814.60 and 5,111.60

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Solution

The fourth proportional to 13,881.20, 20,814.60 and 5,111.60 is: 7,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.20 : 20,814.60 = 5,111.60 : x
  2. Step 2: Convert to fraction form
    13,881.20/20,814.60 = 5,111.60/x
  3. Step 3: Cross multiply
    13,881.20x = 20,814.60 × 5,111.60
  4. Step 4: Simplify right side
    13,881.20x = 106,395,909.36
  5. Step 5: Solve for x
    x = 106,395,909.36/13,881.20
  6. Step 6: Final answer
    x = 7,664.75

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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.