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Finding the Fourth Proportional to 7,080.94, 9,769.71 and 4,096.36

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Solution

The fourth proportional to 7,080.94, 9,769.71 and 4,096.36 is: 5,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.94 : 9,769.71 = 4,096.36 : x
  2. Step 2: Convert to fraction form
    7,080.94/9,769.71 = 4,096.36/x
  3. Step 3: Cross multiply
    7,080.94x = 9,769.71 × 4,096.36
  4. Step 4: Simplify right side
    7,080.94x = 40,020,249.26
  5. Step 5: Solve for x
    x = 40,020,249.26/7,080.94
  6. Step 6: Final answer
    x = 5,651.83

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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.