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Finding the Fourth Proportional to 6,692.84, 10,039.17 and 2,075.84

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Solution

The fourth proportional to 6,692.84, 10,039.17 and 2,075.84 is: 3,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.84 : 10,039.17 = 2,075.84 : x
  2. Step 2: Convert to fraction form
    6,692.84/10,039.17 = 2,075.84/x
  3. Step 3: Cross multiply
    6,692.84x = 10,039.17 × 2,075.84
  4. Step 4: Simplify right side
    6,692.84x = 20,839,710.65
  5. Step 5: Solve for x
    x = 20,839,710.65/6,692.84
  6. Step 6: Final answer
    x = 3,113.73

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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.