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Finding the Fourth Proportional to 24,824.34, 37,237.12 and 7,294.73

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Solution

The fourth proportional to 24,824.34, 37,237.12 and 7,294.73 is: 10,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.34 : 37,237.12 = 7,294.73 : x
  2. Step 2: Convert to fraction form
    24,824.34/37,237.12 = 7,294.73/x
  3. Step 3: Cross multiply
    24,824.34x = 37,237.12 × 7,294.73
  4. Step 4: Simplify right side
    24,824.34x = 271,634,531.96
  5. Step 5: Solve for x
    x = 271,634,531.96/24,824.34
  6. Step 6: Final answer
    x = 10,942.27

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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.