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Finding the Fourth Proportional to 6,858, 10,268.64 and 5,400

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Solution

The fourth proportional to 6,858, 10,268.64 and 5,400 is: 8,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 10,268.64 = 5,400 : x
  2. Step 2: Convert to fraction form
    6,858/10,268.64 = 5,400/x
  3. Step 3: Cross multiply
    6,858x = 10,268.64 × 5,400
  4. Step 4: Simplify right side
    6,858x = 55,450,656
  5. Step 5: Solve for x
    x = 55,450,656/6,858
  6. Step 6: Final answer
    x = 8,085.54

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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.