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Finding the Fourth Proportional to 5,071.97, 7,609.17 and 1,609.22

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Solution

The fourth proportional to 5,071.97, 7,609.17 and 1,609.22 is: 2,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.97 : 7,609.17 = 1,609.22 : x
  2. Step 2: Convert to fraction form
    5,071.97/7,609.17 = 1,609.22/x
  3. Step 3: Cross multiply
    5,071.97x = 7,609.17 × 1,609.22
  4. Step 4: Simplify right side
    5,071.97x = 12,244,790.50
  5. Step 5: Solve for x
    x = 12,244,790.50/5,071.97
  6. Step 6: Final answer
    x = 2,414.21

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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.