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Finding the Fourth Proportional to 11,244.60, 16,865.31 and 7,071.88

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Solution

The fourth proportional to 11,244.60, 16,865.31 and 7,071.88 is: 10,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.60 : 16,865.31 = 7,071.88 : x
  2. Step 2: Convert to fraction form
    11,244.60/16,865.31 = 7,071.88/x
  3. Step 3: Cross multiply
    11,244.60x = 16,865.31 × 7,071.88
  4. Step 4: Simplify right side
    11,244.60x = 119,269,448.48
  5. Step 5: Solve for x
    x = 119,269,448.48/11,244.60
  6. Step 6: Final answer
    x = 10,606.82

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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.