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Finding the Fourth Proportional to 6,855.68, 10,284 and 3,392

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Solution

The fourth proportional to 6,855.68, 10,284 and 3,392 is: 5,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.68 : 10,284 = 3,392 : x
  2. Step 2: Convert to fraction form
    6,855.68/10,284 = 3,392/x
  3. Step 3: Cross multiply
    6,855.68x = 10,284 × 3,392
  4. Step 4: Simplify right side
    6,855.68x = 34,883,328
  5. Step 5: Solve for x
    x = 34,883,328/6,855.68
  6. Step 6: Final answer
    x = 5,088.24

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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.