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Finding the Fourth Proportional to 13,902.52, 20,850.14 and 4,039.16

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Solution

The fourth proportional to 13,902.52, 20,850.14 and 4,039.16 is: 6,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.52 : 20,850.14 = 4,039.16 : x
  2. Step 2: Convert to fraction form
    13,902.52/20,850.14 = 4,039.16/x
  3. Step 3: Cross multiply
    13,902.52x = 20,850.14 × 4,039.16
  4. Step 4: Simplify right side
    13,902.52x = 84,217,051.48
  5. Step 5: Solve for x
    x = 84,217,051.48/13,902.52
  6. Step 6: Final answer
    x = 6,057.68

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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.