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Finding the Fourth Proportional to 24,821.80, 37,229.10 and 7,289.80

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Solution

The fourth proportional to 24,821.80, 37,229.10 and 7,289.80 is: 10,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.80 : 37,229.10 = 7,289.80 : x
  2. Step 2: Convert to fraction form
    24,821.80/37,229.10 = 7,289.80/x
  3. Step 3: Cross multiply
    24,821.80x = 37,229.10 × 7,289.80
  4. Step 4: Simplify right side
    24,821.80x = 271,392,693.18
  5. Step 5: Solve for x
    x = 271,392,693.18/24,821.80
  6. Step 6: Final answer
    x = 10,933.64

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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.