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Finding the Fourth Proportional to 6,716, 10,075.78 and 2,333.46

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Solution

The fourth proportional to 6,716, 10,075.78 and 2,333.46 is: 3,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716 : 10,075.78 = 2,333.46 : x
  2. Step 2: Convert to fraction form
    6,716/10,075.78 = 2,333.46/x
  3. Step 3: Cross multiply
    6,716x = 10,075.78 × 2,333.46
  4. Step 4: Simplify right side
    6,716x = 23,511,429.60
  5. Step 5: Solve for x
    x = 23,511,429.60/6,716
  6. Step 6: Final answer
    x = 3,500.81

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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.