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Finding the Fourth Proportional to 6,782.12, 10,175.02 and 6,131.50

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Solution

The fourth proportional to 6,782.12, 10,175.02 and 6,131.50 is: 9,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.12 : 10,175.02 = 6,131.50 : x
  2. Step 2: Convert to fraction form
    6,782.12/10,175.02 = 6,131.50/x
  3. Step 3: Cross multiply
    6,782.12x = 10,175.02 × 6,131.50
  4. Step 4: Simplify right side
    6,782.12x = 62,388,135.13
  5. Step 5: Solve for x
    x = 62,388,135.13/6,782.12
  6. Step 6: Final answer
    x = 9,198.91

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1.5x scale

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.