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Finding the Fourth Proportional to 7,662.49, 11,496.21 and 3,764.17

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Solution

The fourth proportional to 7,662.49, 11,496.21 and 3,764.17 is: 5,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.49 : 11,496.21 = 3,764.17 : x
  2. Step 2: Convert to fraction form
    7,662.49/11,496.21 = 3,764.17/x
  3. Step 3: Cross multiply
    7,662.49x = 11,496.21 × 3,764.17
  4. Step 4: Simplify right side
    7,662.49x = 43,273,631.31
  5. Step 5: Solve for x
    x = 43,273,631.31/7,662.49
  6. Step 6: Final answer
    x = 5,647.46

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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.