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Finding the Fourth Proportional to 16,546.80, 24,784.56 and 7,768.56

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Solution

The fourth proportional to 16,546.80, 24,784.56 and 7,768.56 is: 11,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.80 : 24,784.56 = 7,768.56 : x
  2. Step 2: Convert to fraction form
    16,546.80/24,784.56 = 7,768.56/x
  3. Step 3: Cross multiply
    16,546.80x = 24,784.56 × 7,768.56
  4. Step 4: Simplify right side
    16,546.80x = 192,540,341.43
  5. Step 5: Solve for x
    x = 192,540,341.43/16,546.80
  6. Step 6: Final answer
    x = 11,636.11

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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.