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Finding the Fourth Proportional to 6,465, 9,692.34 and 2,568.36

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Solution

The fourth proportional to 6,465, 9,692.34 and 2,568.36 is: 3,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465 : 9,692.34 = 2,568.36 : x
  2. Step 2: Convert to fraction form
    6,465/9,692.34 = 2,568.36/x
  3. Step 3: Cross multiply
    6,465x = 9,692.34 × 2,568.36
  4. Step 4: Simplify right side
    6,465x = 24,893,418.36
  5. Step 5: Solve for x
    x = 24,893,418.36/6,465
  6. Step 6: Final answer
    x = 3,850.49

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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.