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Finding the Fourth Proportional to 4,309.07, 6,463.60 and 1,231.07

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Solution

The fourth proportional to 4,309.07, 6,463.60 and 1,231.07 is: 1,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.07 : 6,463.60 = 1,231.07 : x
  2. Step 2: Convert to fraction form
    4,309.07/6,463.60 = 1,231.07/x
  3. Step 3: Cross multiply
    4,309.07x = 6,463.60 × 1,231.07
  4. Step 4: Simplify right side
    4,309.07x = 7,957,144.05
  5. Step 5: Solve for x
    x = 7,957,144.05/4,309.07
  6. Step 6: Final answer
    x = 1,846.60

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Similar ratio
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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.