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Finding the Fourth Proportional to 11,912.40, 16,446.60 and 10,789.20

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Solution

The fourth proportional to 11,912.40, 16,446.60 and 10,789.20 is: 14,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.40 : 16,446.60 = 10,789.20 : x
  2. Step 2: Convert to fraction form
    11,912.40/16,446.60 = 10,789.20/x
  3. Step 3: Cross multiply
    11,912.40x = 16,446.60 × 10,789.20
  4. Step 4: Simplify right side
    11,912.40x = 177,445,656.72
  5. Step 5: Solve for x
    x = 177,445,656.72/11,912.40
  6. Step 6: Final answer
    x = 14,895.88

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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.