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Finding the Fourth Proportional to 12,050, 18,075 and 3,842

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Solution

The fourth proportional to 12,050, 18,075 and 3,842 is: 5,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050 : 18,075 = 3,842 : x
  2. Step 2: Convert to fraction form
    12,050/18,075 = 3,842/x
  3. Step 3: Cross multiply
    12,050x = 18,075 × 3,842
  4. Step 4: Simplify right side
    12,050x = 69,444,150
  5. Step 5: Solve for x
    x = 69,444,150/12,050
  6. Step 6: Final answer
    x = 5,763

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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.