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Finding the Fourth Proportional to 11,951.84, 16,493.20 and 6,646.56

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Solution

The fourth proportional to 11,951.84, 16,493.20 and 6,646.56 is: 9,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.84 : 16,493.20 = 6,646.56 : x
  2. Step 2: Convert to fraction form
    11,951.84/16,493.20 = 6,646.56/x
  3. Step 3: Cross multiply
    11,951.84x = 16,493.20 × 6,646.56
  4. Step 4: Simplify right side
    11,951.84x = 109,623,043.39
  5. Step 5: Solve for x
    x = 109,623,043.39/11,951.84
  6. Step 6: Final answer
    x = 9,172.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.