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Finding the Fourth Proportional to 11,856.60, 17,784.90 and 10,906.20

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Solution

The fourth proportional to 11,856.60, 17,784.90 and 10,906.20 is: 16,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.60 : 17,784.90 = 10,906.20 : x
  2. Step 2: Convert to fraction form
    11,856.60/17,784.90 = 10,906.20/x
  3. Step 3: Cross multiply
    11,856.60x = 17,784.90 × 10,906.20
  4. Step 4: Simplify right side
    11,856.60x = 193,965,676.38
  5. Step 5: Solve for x
    x = 193,965,676.38/11,856.60
  6. Step 6: Final answer
    x = 16,359.30

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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.