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Finding the Fourth Proportional to 6,782.26, 9,359.67 and 4,796.38

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Solution

The fourth proportional to 6,782.26, 9,359.67 and 4,796.38 is: 6,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.26 : 9,359.67 = 4,796.38 : x
  2. Step 2: Convert to fraction form
    6,782.26/9,359.67 = 4,796.38/x
  3. Step 3: Cross multiply
    6,782.26x = 9,359.67 × 4,796.38
  4. Step 4: Simplify right side
    6,782.26x = 44,892,533.99
  5. Step 5: Solve for x
    x = 44,892,533.99/6,782.26
  6. Step 6: Final answer
    x = 6,619.11

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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.