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Finding the Fourth Proportional to 4,138.67, 6,208.41 and 1,506.88

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Solution

The fourth proportional to 4,138.67, 6,208.41 and 1,506.88 is: 2,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.67 : 6,208.41 = 1,506.88 : x
  2. Step 2: Convert to fraction form
    4,138.67/6,208.41 = 1,506.88/x
  3. Step 3: Cross multiply
    4,138.67x = 6,208.41 × 1,506.88
  4. Step 4: Simplify right side
    4,138.67x = 9,355,297.82
  5. Step 5: Solve for x
    x = 9,355,297.82/4,138.67
  6. Step 6: Final answer
    x = 2,260.46

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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.