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Finding the Fourth Proportional to 6,195, 9,292.50 and 2,091

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Solution

The fourth proportional to 6,195, 9,292.50 and 2,091 is: 3,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195 : 9,292.50 = 2,091 : x
  2. Step 2: Convert to fraction form
    6,195/9,292.50 = 2,091/x
  3. Step 3: Cross multiply
    6,195x = 9,292.50 × 2,091
  4. Step 4: Simplify right side
    6,195x = 19,430,617.50
  5. Step 5: Solve for x
    x = 19,430,617.50/6,195
  6. Step 6: Final answer
    x = 3,136.50

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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.