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Finding the Fourth Proportional to 7,105, 10,657.50 and 2,241

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Solution

The fourth proportional to 7,105, 10,657.50 and 2,241 is: 3,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105 : 10,657.50 = 2,241 : x
  2. Step 2: Convert to fraction form
    7,105/10,657.50 = 2,241/x
  3. Step 3: Cross multiply
    7,105x = 10,657.50 × 2,241
  4. Step 4: Simplify right side
    7,105x = 23,883,457.50
  5. Step 5: Solve for x
    x = 23,883,457.50/7,105
  6. Step 6: Final answer
    x = 3,361.50

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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.