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Finding the Fourth Proportional to 24,745.36, 37,114.08 and 7,211.09

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Solution

The fourth proportional to 24,745.36, 37,114.08 and 7,211.09 is: 10,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.36 : 37,114.08 = 7,211.09 : x
  2. Step 2: Convert to fraction form
    24,745.36/37,114.08 = 7,211.09/x
  3. Step 3: Cross multiply
    24,745.36x = 37,114.08 × 7,211.09
  4. Step 4: Simplify right side
    24,745.36x = 267,632,971.15
  5. Step 5: Solve for x
    x = 267,632,971.15/24,745.36
  6. Step 6: Final answer
    x = 10,815.48

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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.