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Finding the Fourth Proportional to 7,662.51, 11,491.34 and 2,467.17

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Solution

The fourth proportional to 7,662.51, 11,491.34 and 2,467.17 is: 3,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.51 : 11,491.34 = 2,467.17 : x
  2. Step 2: Convert to fraction form
    7,662.51/11,491.34 = 2,467.17/x
  3. Step 3: Cross multiply
    7,662.51x = 11,491.34 × 2,467.17
  4. Step 4: Simplify right side
    7,662.51x = 28,351,076.97
  5. Step 5: Solve for x
    x = 28,351,076.97/7,662.51
  6. Step 6: Final answer
    x = 3,699.97

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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.