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Finding the Fourth Proportional to 23,941.50, 35,912.25 and 7,525.50

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Solution

The fourth proportional to 23,941.50, 35,912.25 and 7,525.50 is: 11,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,941.50 : 35,912.25 = 7,525.50 : x
  2. Step 2: Convert to fraction form
    23,941.50/35,912.25 = 7,525.50/x
  3. Step 3: Cross multiply
    23,941.50x = 35,912.25 × 7,525.50
  4. Step 4: Simplify right side
    23,941.50x = 270,257,637.38
  5. Step 5: Solve for x
    x = 270,257,637.38/23,941.50
  6. Step 6: Final answer
    x = 11,288.25

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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.