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Finding the Fourth Proportional to 5,046.67, 7,570.20 and 1,760.09

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Solution

The fourth proportional to 5,046.67, 7,570.20 and 1,760.09 is: 2,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.67 : 7,570.20 = 1,760.09 : x
  2. Step 2: Convert to fraction form
    5,046.67/7,570.20 = 1,760.09/x
  3. Step 3: Cross multiply
    5,046.67x = 7,570.20 × 1,760.09
  4. Step 4: Simplify right side
    5,046.67x = 13,324,233.32
  5. Step 5: Solve for x
    x = 13,324,233.32/5,046.67
  6. Step 6: Final answer
    x = 2,640.20

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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.