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Finding the Fourth Proportional to 24,617.37, 36,922.44 and 7,978.86

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Solution

The fourth proportional to 24,617.37, 36,922.44 and 7,978.86 is: 11,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.37 : 36,922.44 = 7,978.86 : x
  2. Step 2: Convert to fraction form
    24,617.37/36,922.44 = 7,978.86/x
  3. Step 3: Cross multiply
    24,617.37x = 36,922.44 × 7,978.86
  4. Step 4: Simplify right side
    24,617.37x = 294,598,979.62
  5. Step 5: Solve for x
    x = 294,598,979.62/24,617.37
  6. Step 6: Final answer
    x = 11,967.12

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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.