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Finding the Fourth Proportional to 4,493, 6,739.50 and 2,061

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Solution

The fourth proportional to 4,493, 6,739.50 and 2,061 is: 3,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493 : 6,739.50 = 2,061 : x
  2. Step 2: Convert to fraction form
    4,493/6,739.50 = 2,061/x
  3. Step 3: Cross multiply
    4,493x = 6,739.50 × 2,061
  4. Step 4: Simplify right side
    4,493x = 13,890,109.50
  5. Step 5: Solve for x
    x = 13,890,109.50/4,493
  6. Step 6: Final answer
    x = 3,091.50

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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.