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Finding the Fourth Proportional to 7,731, 11,596.94 and 2,465.64

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Solution

The fourth proportional to 7,731, 11,596.94 and 2,465.64 is: 3,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731 : 11,596.94 = 2,465.64 : x
  2. Step 2: Convert to fraction form
    7,731/11,596.94 = 2,465.64/x
  3. Step 3: Cross multiply
    7,731x = 11,596.94 × 2,465.64
  4. Step 4: Simplify right side
    7,731x = 28,593,879.14
  5. Step 5: Solve for x
    x = 28,593,879.14/7,731
  6. Step 6: Final answer
    x = 3,698.60

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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.