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Finding the Fourth Proportional to 7,796.58, 11,694.90 and 3,414.06

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Solution

The fourth proportional to 7,796.58, 11,694.90 and 3,414.06 is: 5,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.58 : 11,694.90 = 3,414.06 : x
  2. Step 2: Convert to fraction form
    7,796.58/11,694.90 = 3,414.06/x
  3. Step 3: Cross multiply
    7,796.58x = 11,694.90 × 3,414.06
  4. Step 4: Simplify right side
    7,796.58x = 39,927,090.29
  5. Step 5: Solve for x
    x = 39,927,090.29/7,796.58
  6. Step 6: Final answer
    x = 5,121.10

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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.