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Finding the Fourth Proportional to 11,794.60, 16,276.71 and 6,489.64

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Solution

The fourth proportional to 11,794.60, 16,276.71 and 6,489.64 is: 8,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.60 : 16,276.71 = 6,489.64 : x
  2. Step 2: Convert to fraction form
    11,794.60/16,276.71 = 6,489.64/x
  3. Step 3: Cross multiply
    11,794.60x = 16,276.71 × 6,489.64
  4. Step 4: Simplify right side
    11,794.60x = 105,629,988.28
  5. Step 5: Solve for x
    x = 105,629,988.28/11,794.60
  6. Step 6: Final answer
    x = 8,955.79

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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.