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Finding the Fourth Proportional to 11,783.66, 17,674.58 and 6,850.15

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Solution

The fourth proportional to 11,783.66, 17,674.58 and 6,850.15 is: 10,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.66 : 17,674.58 = 6,850.15 : x
  2. Step 2: Convert to fraction form
    11,783.66/17,674.58 = 6,850.15/x
  3. Step 3: Cross multiply
    11,783.66x = 17,674.58 × 6,850.15
  4. Step 4: Simplify right side
    11,783.66x = 121,073,489.94
  5. Step 5: Solve for x
    x = 121,073,489.94/11,783.66
  6. Step 6: Final answer
    x = 10,274.69

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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.