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Finding the Fourth Proportional to 24,176, 36,262.32 and 8,380.58

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Solution

The fourth proportional to 24,176, 36,262.32 and 8,380.58 is: 12,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176 : 36,262.32 = 8,380.58 : x
  2. Step 2: Convert to fraction form
    24,176/36,262.32 = 8,380.58/x
  3. Step 3: Cross multiply
    24,176x = 36,262.32 × 8,380.58
  4. Step 4: Simplify right side
    24,176x = 303,899,273.75
  5. Step 5: Solve for x
    x = 303,899,273.75/24,176
  6. Step 6: Final answer
    x = 12,570.29

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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.