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Finding the Fourth Proportional to 6,149, 9,223.50 and 2,045

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Solution

The fourth proportional to 6,149, 9,223.50 and 2,045 is: 3,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149 : 9,223.50 = 2,045 : x
  2. Step 2: Convert to fraction form
    6,149/9,223.50 = 2,045/x
  3. Step 3: Cross multiply
    6,149x = 9,223.50 × 2,045
  4. Step 4: Simplify right side
    6,149x = 18,862,057.50
  5. Step 5: Solve for x
    x = 18,862,057.50/6,149
  6. Step 6: Final answer
    x = 3,067.50

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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.