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Finding the Fourth Proportional to 11,321.64, 16,957.68 and 8,024.73

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Solution

The fourth proportional to 11,321.64, 16,957.68 and 8,024.73 is: 12,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.64 : 16,957.68 = 8,024.73 : x
  2. Step 2: Convert to fraction form
    11,321.64/16,957.68 = 8,024.73/x
  3. Step 3: Cross multiply
    11,321.64x = 16,957.68 × 8,024.73
  4. Step 4: Simplify right side
    11,321.64x = 136,080,803.43
  5. Step 5: Solve for x
    x = 136,080,803.43/11,321.64
  6. Step 6: Final answer
    x = 12,019.53

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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.