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Finding the Fourth Proportional to 6,181, 9,271.58 and 2,077

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Solution

The fourth proportional to 6,181, 9,271.58 and 2,077 is: 3,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181 : 9,271.58 = 2,077 : x
  2. Step 2: Convert to fraction form
    6,181/9,271.58 = 2,077/x
  3. Step 3: Cross multiply
    6,181x = 9,271.58 × 2,077
  4. Step 4: Simplify right side
    6,181x = 19,257,071.66
  5. Step 5: Solve for x
    x = 19,257,071.66/6,181
  6. Step 6: Final answer
    x = 3,115.53

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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.