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Finding the Fourth Proportional to 7,321.67, 10,982.41 and 1,775.06

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Solution

The fourth proportional to 7,321.67, 10,982.41 and 1,775.06 is: 2,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.67 : 10,982.41 = 1,775.06 : x
  2. Step 2: Convert to fraction form
    7,321.67/10,982.41 = 1,775.06/x
  3. Step 3: Cross multiply
    7,321.67x = 10,982.41 × 1,775.06
  4. Step 4: Simplify right side
    7,321.67x = 19,494,490.29
  5. Step 5: Solve for x
    x = 19,494,490.29/7,321.67
  6. Step 6: Final answer
    x = 2,662.57

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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.