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Finding the Fourth Proportional to 24,082.83, 36,114.89 and 8,284.86

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Solution

The fourth proportional to 24,082.83, 36,114.89 and 8,284.86 is: 12,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.83 : 36,114.89 = 8,284.86 : x
  2. Step 2: Convert to fraction form
    24,082.83/36,114.89 = 8,284.86/x
  3. Step 3: Cross multiply
    24,082.83x = 36,114.89 × 8,284.86
  4. Step 4: Simplify right side
    24,082.83x = 299,206,766.14
  5. Step 5: Solve for x
    x = 299,206,766.14/24,082.83
  6. Step 6: Final answer
    x = 12,424.07

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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.