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Finding the Fourth Proportional to 7,640.56, 11,455.24 and 2,443.44

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Solution

The fourth proportional to 7,640.56, 11,455.24 and 2,443.44 is: 3,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.56 : 11,455.24 = 2,443.44 : x
  2. Step 2: Convert to fraction form
    7,640.56/11,455.24 = 2,443.44/x
  3. Step 3: Cross multiply
    7,640.56x = 11,455.24 × 2,443.44
  4. Step 4: Simplify right side
    7,640.56x = 27,990,191.63
  5. Step 5: Solve for x
    x = 27,990,191.63/7,640.56
  6. Step 6: Final answer
    x = 3,663.37

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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.