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Finding the Fourth Proportional to 11,799, 16,282.63 and 6,493.78

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Solution

The fourth proportional to 11,799, 16,282.63 and 6,493.78 is: 8,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799 : 16,282.63 = 6,493.78 : x
  2. Step 2: Convert to fraction form
    11,799/16,282.63 = 6,493.78/x
  3. Step 3: Cross multiply
    11,799x = 16,282.63 × 6,493.78
  4. Step 4: Simplify right side
    11,799x = 105,735,845.51
  5. Step 5: Solve for x
    x = 105,735,845.51/11,799
  6. Step 6: Final answer
    x = 8,961.42

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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.