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Finding the Fourth Proportional to 5,400, 8,100 and 1,296

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Solution

The fourth proportional to 5,400, 8,100 and 1,296 is: 1,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400 : 8,100 = 1,296 : x
  2. Step 2: Convert to fraction form
    5,400/8,100 = 1,296/x
  3. Step 3: Cross multiply
    5,400x = 8,100 × 1,296
  4. Step 4: Simplify right side
    5,400x = 10,497,600
  5. Step 5: Solve for x
    x = 10,497,600/5,400
  6. Step 6: Final answer
    x = 1,944

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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.