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Finding the Fourth Proportional to 6,855.81, 10,284.50 and 2,695.26

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Solution

The fourth proportional to 6,855.81, 10,284.50 and 2,695.26 is: 4,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.81 : 10,284.50 = 2,695.26 : x
  2. Step 2: Convert to fraction form
    6,855.81/10,284.50 = 2,695.26/x
  3. Step 3: Cross multiply
    6,855.81x = 10,284.50 × 2,695.26
  4. Step 4: Simplify right side
    6,855.81x = 27,719,401.47
  5. Step 5: Solve for x
    x = 27,719,401.47/6,855.81
  6. Step 6: Final answer
    x = 4,043.20

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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.