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Finding the Fourth Proportional to 23,909.50, 35,865.87 and 7,270.84

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Solution

The fourth proportional to 23,909.50, 35,865.87 and 7,270.84 is: 10,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,909.50 : 35,865.87 = 7,270.84 : x
  2. Step 2: Convert to fraction form
    23,909.50/35,865.87 = 7,270.84/x
  3. Step 3: Cross multiply
    23,909.50x = 35,865.87 × 7,270.84
  4. Step 4: Simplify right side
    23,909.50x = 260,775,002.23
  5. Step 5: Solve for x
    x = 260,775,002.23/23,909.50
  6. Step 6: Final answer
    x = 10,906.75

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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.