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Finding the Fourth Proportional to 16,262.40, 24,392.16 and 7,939.20

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Solution

The fourth proportional to 16,262.40, 24,392.16 and 7,939.20 is: 11,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.40 : 24,392.16 = 7,939.20 : x
  2. Step 2: Convert to fraction form
    16,262.40/24,392.16 = 7,939.20/x
  3. Step 3: Cross multiply
    16,262.40x = 24,392.16 × 7,939.20
  4. Step 4: Simplify right side
    16,262.40x = 193,654,236.67
  5. Step 5: Solve for x
    x = 193,654,236.67/16,262.40
  6. Step 6: Final answer
    x = 11,908.10

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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.