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Finding the Fourth Proportional to 6,033.84, 9,051.98 and 2,140.98

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Solution

The fourth proportional to 6,033.84, 9,051.98 and 2,140.98 is: 3,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.84 : 9,051.98 = 2,140.98 : x
  2. Step 2: Convert to fraction form
    6,033.84/9,051.98 = 2,140.98/x
  3. Step 3: Cross multiply
    6,033.84x = 9,051.98 × 2,140.98
  4. Step 4: Simplify right side
    6,033.84x = 19,380,108.14
  5. Step 5: Solve for x
    x = 19,380,108.14/6,033.84
  6. Step 6: Final answer
    x = 3,211.90

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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.