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Finding the Fourth Proportional to 6,852.84, 10,284 and 2,692.82

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Solution

The fourth proportional to 6,852.84, 10,284 and 2,692.82 is: 4,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.84 : 10,284 = 2,692.82 : x
  2. Step 2: Convert to fraction form
    6,852.84/10,284 = 2,692.82/x
  3. Step 3: Cross multiply
    6,852.84x = 10,284 × 2,692.82
  4. Step 4: Simplify right side
    6,852.84x = 27,692,960.88
  5. Step 5: Solve for x
    x = 27,692,960.88/6,852.84
  6. Step 6: Final answer
    x = 4,041.09

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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.