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Finding the Fourth Proportional to 4,161.36, 6,237.36 and 2,078.22

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Solution

The fourth proportional to 4,161.36, 6,237.36 and 2,078.22 is: 3,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.36 : 6,237.36 = 2,078.22 : x
  2. Step 2: Convert to fraction form
    4,161.36/6,237.36 = 2,078.22/x
  3. Step 3: Cross multiply
    4,161.36x = 6,237.36 × 2,078.22
  4. Step 4: Simplify right side
    4,161.36x = 12,962,606.30
  5. Step 5: Solve for x
    x = 12,962,606.30/4,161.36
  6. Step 6: Final answer
    x = 3,114.99

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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.