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Finding the Fourth Proportional to 7,483, 11,224.50 and 2,011

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Solution

The fourth proportional to 7,483, 11,224.50 and 2,011 is: 3,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483 : 11,224.50 = 2,011 : x
  2. Step 2: Convert to fraction form
    7,483/11,224.50 = 2,011/x
  3. Step 3: Cross multiply
    7,483x = 11,224.50 × 2,011
  4. Step 4: Simplify right side
    7,483x = 22,572,469.50
  5. Step 5: Solve for x
    x = 22,572,469.50/7,483
  6. Step 6: Final answer
    x = 3,016.50

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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.