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Finding the Fourth Proportional to 6,084, 9,126 and 1,467

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Solution

The fourth proportional to 6,084, 9,126 and 1,467 is: 2,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084 : 9,126 = 1,467 : x
  2. Step 2: Convert to fraction form
    6,084/9,126 = 1,467/x
  3. Step 3: Cross multiply
    6,084x = 9,126 × 1,467
  4. Step 4: Simplify right side
    6,084x = 13,387,842
  5. Step 5: Solve for x
    x = 13,387,842/6,084
  6. Step 6: Final answer
    x = 2,200.50

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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.