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Finding the Fourth Proportional to 6,150, 9,225 and 2,046

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Solution

The fourth proportional to 6,150, 9,225 and 2,046 is: 3,069

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150 : 9,225 = 2,046 : x
  2. Step 2: Convert to fraction form
    6,150/9,225 = 2,046/x
  3. Step 3: Cross multiply
    6,150x = 9,225 × 2,046
  4. Step 4: Simplify right side
    6,150x = 18,874,350
  5. Step 5: Solve for x
    x = 18,874,350/6,150
  6. Step 6: Final answer
    x = 3,069

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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.