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Finding the Fourth Proportional to 7,796.44, 11,651.55 and 6,984.28

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Solution

The fourth proportional to 7,796.44, 11,651.55 and 6,984.28 is: 10,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.44 : 11,651.55 = 6,984.28 : x
  2. Step 2: Convert to fraction form
    7,796.44/11,651.55 = 6,984.28/x
  3. Step 3: Cross multiply
    7,796.44x = 11,651.55 × 6,984.28
  4. Step 4: Simplify right side
    7,796.44x = 81,377,687.63
  5. Step 5: Solve for x
    x = 81,377,687.63/7,796.44
  6. Step 6: Final answer
    x = 10,437.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.