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Finding the Fourth Proportional to 13,937.75, 20,906.63 and 4,703.75

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Solution

The fourth proportional to 13,937.75, 20,906.63 and 4,703.75 is: 7,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.75 : 20,906.63 = 4,703.75 : x
  2. Step 2: Convert to fraction form
    13,937.75/20,906.63 = 4,703.75/x
  3. Step 3: Cross multiply
    13,937.75x = 20,906.63 × 4,703.75
  4. Step 4: Simplify right side
    13,937.75x = 98,339,560.86
  5. Step 5: Solve for x
    x = 98,339,560.86/13,937.75
  6. Step 6: Final answer
    x = 7,055.63

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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.