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Finding the Fourth Proportional to 7,342.80, 11,014.12 and 1,796.16

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Solution

The fourth proportional to 7,342.80, 11,014.12 and 1,796.16 is: 2,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.80 : 11,014.12 = 1,796.16 : x
  2. Step 2: Convert to fraction form
    7,342.80/11,014.12 = 1,796.16/x
  3. Step 3: Cross multiply
    7,342.80x = 11,014.12 × 1,796.16
  4. Step 4: Simplify right side
    7,342.80x = 19,783,121.78
  5. Step 5: Solve for x
    x = 19,783,121.78/7,342.80
  6. Step 6: Final answer
    x = 2,694.22

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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.