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Finding the Fourth Proportional to 6,033.49, 9,050.24 and 1,650.99

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Solution

The fourth proportional to 6,033.49, 9,050.24 and 1,650.99 is: 2,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.49 : 9,050.24 = 1,650.99 : x
  2. Step 2: Convert to fraction form
    6,033.49/9,050.24 = 1,650.99/x
  3. Step 3: Cross multiply
    6,033.49x = 9,050.24 × 1,650.99
  4. Step 4: Simplify right side
    6,033.49x = 14,941,855.74
  5. Step 5: Solve for x
    x = 14,941,855.74/6,033.49
  6. Step 6: Final answer
    x = 2,476.49

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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.