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Finding the Fourth Proportional to 6,756.80, 9,324.05 and 3,772.06

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Solution

The fourth proportional to 6,756.80, 9,324.05 and 3,772.06 is: 5,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.80 : 9,324.05 = 3,772.06 : x
  2. Step 2: Convert to fraction form
    6,756.80/9,324.05 = 3,772.06/x
  3. Step 3: Cross multiply
    6,756.80x = 9,324.05 × 3,772.06
  4. Step 4: Simplify right side
    6,756.80x = 35,170,907.61
  5. Step 5: Solve for x
    x = 35,170,907.61/6,756.80
  6. Step 6: Final answer
    x = 5,205.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.