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Finding the Fourth Proportional to 6,772.52, 10,153.20 and 3,076.50

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Solution

The fourth proportional to 6,772.52, 10,153.20 and 3,076.50 is: 4,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.52 : 10,153.20 = 3,076.50 : x
  2. Step 2: Convert to fraction form
    6,772.52/10,153.20 = 3,076.50/x
  3. Step 3: Cross multiply
    6,772.52x = 10,153.20 × 3,076.50
  4. Step 4: Simplify right side
    6,772.52x = 31,236,319.80
  5. Step 5: Solve for x
    x = 31,236,319.80/6,772.52
  6. Step 6: Final answer
    x = 4,612.22

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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.