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Finding the Fourth Proportional to 23,543.54, 35,314.22 and 7,961.30

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Solution

The fourth proportional to 23,543.54, 35,314.22 and 7,961.30 is: 11,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.54 : 35,314.22 = 7,961.30 : x
  2. Step 2: Convert to fraction form
    23,543.54/35,314.22 = 7,961.30/x
  3. Step 3: Cross multiply
    23,543.54x = 35,314.22 × 7,961.30
  4. Step 4: Simplify right side
    23,543.54x = 281,147,099.69
  5. Step 5: Solve for x
    x = 281,147,099.69/23,543.54
  6. Step 6: Final answer
    x = 11,941.58

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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.