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Finding the Fourth Proportional to 4,137.54, 6,206.22 and 1,945.05

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Solution

The fourth proportional to 4,137.54, 6,206.22 and 1,945.05 is: 2,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.54 : 6,206.22 = 1,945.05 : x
  2. Step 2: Convert to fraction form
    4,137.54/6,206.22 = 1,945.05/x
  3. Step 3: Cross multiply
    4,137.54x = 6,206.22 × 1,945.05
  4. Step 4: Simplify right side
    4,137.54x = 12,071,408.21
  5. Step 5: Solve for x
    x = 12,071,408.21/4,137.54
  6. Step 6: Final answer
    x = 2,917.53

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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.