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Finding the Fourth Proportional to 4,554, 6,831 and 1,476

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Solution

The fourth proportional to 4,554, 6,831 and 1,476 is: 2,214

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554 : 6,831 = 1,476 : x
  2. Step 2: Convert to fraction form
    4,554/6,831 = 1,476/x
  3. Step 3: Cross multiply
    4,554x = 6,831 × 1,476
  4. Step 4: Simplify right side
    4,554x = 10,082,556
  5. Step 5: Solve for x
    x = 10,082,556/4,554
  6. Step 6: Final answer
    x = 2,214

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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.