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Finding the Fourth Proportional to 24,200.85, 36,299.97 and 7,558.97

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Solution

The fourth proportional to 24,200.85, 36,299.97 and 7,558.97 is: 11,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.85 : 36,299.97 = 7,558.97 : x
  2. Step 2: Convert to fraction form
    24,200.85/36,299.97 = 7,558.97/x
  3. Step 3: Cross multiply
    24,200.85x = 36,299.97 × 7,558.97
  4. Step 4: Simplify right side
    24,200.85x = 274,390,346.44
  5. Step 5: Solve for x
    x = 274,390,346.44/24,200.85
  6. Step 6: Final answer
    x = 11,338.05

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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.