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Finding the Fourth Proportional to 6,232.87, 9,350.25 and 1,849.78

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Solution

The fourth proportional to 6,232.87, 9,350.25 and 1,849.78 is: 2,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.87 : 9,350.25 = 1,849.78 : x
  2. Step 2: Convert to fraction form
    6,232.87/9,350.25 = 1,849.78/x
  3. Step 3: Cross multiply
    6,232.87x = 9,350.25 × 1,849.78
  4. Step 4: Simplify right side
    6,232.87x = 17,295,905.45
  5. Step 5: Solve for x
    x = 17,295,905.45/6,232.87
  6. Step 6: Final answer
    x = 2,774.95

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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.