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Finding the Fourth Proportional to 24,749.80, 37,121.10 and 7,217.80

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Solution

The fourth proportional to 24,749.80, 37,121.10 and 7,217.80 is: 10,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.80 : 37,121.10 = 7,217.80 : x
  2. Step 2: Convert to fraction form
    24,749.80/37,121.10 = 7,217.80/x
  3. Step 3: Cross multiply
    24,749.80x = 37,121.10 × 7,217.80
  4. Step 4: Simplify right side
    24,749.80x = 267,932,675.58
  5. Step 5: Solve for x
    x = 267,932,675.58/24,749.80
  6. Step 6: Final answer
    x = 10,825.65

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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.