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Finding the Fourth Proportional to 24,734.86, 37,108.38 and 7,204.84

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Solution

The fourth proportional to 24,734.86, 37,108.38 and 7,204.84 is: 10,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.86 : 37,108.38 = 7,204.84 : x
  2. Step 2: Convert to fraction form
    24,734.86/37,108.38 = 7,204.84/x
  3. Step 3: Cross multiply
    24,734.86x = 37,108.38 × 7,204.84
  4. Step 4: Simplify right side
    24,734.86x = 267,359,940.56
  5. Step 5: Solve for x
    x = 267,359,940.56/24,734.86
  6. Step 6: Final answer
    x = 10,809.03

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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.