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Finding the Fourth Proportional to 11,201.60, 16,765.49 and 9,971.41

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Solution

The fourth proportional to 11,201.60, 16,765.49 and 9,971.41 is: 14,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.60 : 16,765.49 = 9,971.41 : x
  2. Step 2: Convert to fraction form
    11,201.60/16,765.49 = 9,971.41/x
  3. Step 3: Cross multiply
    11,201.60x = 16,765.49 × 9,971.41
  4. Step 4: Simplify right side
    11,201.60x = 167,175,608.20
  5. Step 5: Solve for x
    x = 167,175,608.20/11,201.60
  6. Step 6: Final answer
    x = 14,924.26

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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.