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Finding the Fourth Proportional to 6,175.89, 9,263.82 and 2,071.89

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Solution

The fourth proportional to 6,175.89, 9,263.82 and 2,071.89 is: 3,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.89 : 9,263.82 = 2,071.89 : x
  2. Step 2: Convert to fraction form
    6,175.89/9,263.82 = 2,071.89/x
  3. Step 3: Cross multiply
    6,175.89x = 9,263.82 × 2,071.89
  4. Step 4: Simplify right side
    6,175.89x = 19,193,616.02
  5. Step 5: Solve for x
    x = 19,193,616.02/6,175.89
  6. Step 6: Final answer
    x = 3,107.83

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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.