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Finding the Fourth Proportional to 6,716.44, 10,075.20 and 2,099.44

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Solution

The fourth proportional to 6,716.44, 10,075.20 and 2,099.44 is: 3,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.44 : 10,075.20 = 2,099.44 : x
  2. Step 2: Convert to fraction form
    6,716.44/10,075.20 = 2,099.44/x
  3. Step 3: Cross multiply
    6,716.44x = 10,075.20 × 2,099.44
  4. Step 4: Simplify right side
    6,716.44x = 21,152,277.89
  5. Step 5: Solve for x
    x = 21,152,277.89/6,716.44
  6. Step 6: Final answer
    x = 3,149.33

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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.