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Finding the Fourth Proportional to 7,846.01, 11,769.10 and 2,299.46

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Solution

The fourth proportional to 7,846.01, 11,769.10 and 2,299.46 is: 3,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.01 : 11,769.10 = 2,299.46 : x
  2. Step 2: Convert to fraction form
    7,846.01/11,769.10 = 2,299.46/x
  3. Step 3: Cross multiply
    7,846.01x = 11,769.10 × 2,299.46
  4. Step 4: Simplify right side
    7,846.01x = 27,062,574.69
  5. Step 5: Solve for x
    x = 27,062,574.69/7,846.01
  6. Step 6: Final answer
    x = 3,449.22

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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.