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Finding the Fourth Proportional to 24,524.57, 36,790.94 and 9,733.57

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Solution

The fourth proportional to 24,524.57, 36,790.94 and 9,733.57 is: 14,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524.57 : 36,790.94 = 9,733.57 : x
  2. Step 2: Convert to fraction form
    24,524.57/36,790.94 = 9,733.57/x
  3. Step 3: Cross multiply
    24,524.57x = 36,790.94 × 9,733.57
  4. Step 4: Simplify right side
    24,524.57x = 358,107,122.21
  5. Step 5: Solve for x
    x = 358,107,122.21/24,524.57
  6. Step 6: Final answer
    x = 14,601.97

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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.