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Finding the Fourth Proportional to 24,309.66, 36,464.78 and 6,778.42

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Solution

The fourth proportional to 24,309.66, 36,464.78 and 6,778.42 is: 10,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.66 : 36,464.78 = 6,778.42 : x
  2. Step 2: Convert to fraction form
    24,309.66/36,464.78 = 6,778.42/x
  3. Step 3: Cross multiply
    24,309.66x = 36,464.78 × 6,778.42
  4. Step 4: Simplify right side
    24,309.66x = 247,173,594.05
  5. Step 5: Solve for x
    x = 247,173,594.05/24,309.66
  6. Step 6: Final answer
    x = 10,167.71

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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.