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Finding the Fourth Proportional to 7,033.50, 10,549.98 and 1,768.57

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Solution

The fourth proportional to 7,033.50, 10,549.98 and 1,768.57 is: 2,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.50 : 10,549.98 = 1,768.57 : x
  2. Step 2: Convert to fraction form
    7,033.50/10,549.98 = 1,768.57/x
  3. Step 3: Cross multiply
    7,033.50x = 10,549.98 × 1,768.57
  4. Step 4: Simplify right side
    7,033.50x = 18,658,351.75
  5. Step 5: Solve for x
    x = 18,658,351.75/7,033.50
  6. Step 6: Final answer
    x = 2,652.78

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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.