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Finding the Fourth Proportional to 6,530.70, 9,794.07 and 1,850.34

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Solution

The fourth proportional to 6,530.70, 9,794.07 and 1,850.34 is: 2,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.70 : 9,794.07 = 1,850.34 : x
  2. Step 2: Convert to fraction form
    6,530.70/9,794.07 = 1,850.34/x
  3. Step 3: Cross multiply
    6,530.70x = 9,794.07 × 1,850.34
  4. Step 4: Simplify right side
    6,530.70x = 18,122,359.48
  5. Step 5: Solve for x
    x = 18,122,359.48/6,530.70
  6. Step 6: Final answer
    x = 2,774.95

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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.