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Finding the Fourth Proportional to 5,299.75, 7,949.63 and 1,837

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Solution

The fourth proportional to 5,299.75, 7,949.63 and 1,837 is: 2,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.75 : 7,949.63 = 1,837 : x
  2. Step 2: Convert to fraction form
    5,299.75/7,949.63 = 1,837/x
  3. Step 3: Cross multiply
    5,299.75x = 7,949.63 × 1,837
  4. Step 4: Simplify right side
    5,299.75x = 14,603,470.31
  5. Step 5: Solve for x
    x = 14,603,470.31/5,299.75
  6. Step 6: Final answer
    x = 2,755.50

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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.