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Finding the Fourth Proportional to 11,846.90, 17,770.52 and 11,486.06

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Solution

The fourth proportional to 11,846.90, 17,770.52 and 11,486.06 is: 17,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.90 : 17,770.52 = 11,486.06 : x
  2. Step 2: Convert to fraction form
    11,846.90/17,770.52 = 11,486.06/x
  3. Step 3: Cross multiply
    11,846.90x = 17,770.52 × 11,486.06
  4. Step 4: Simplify right side
    11,846.90x = 204,113,258.95
  5. Step 5: Solve for x
    x = 204,113,258.95/11,846.90
  6. Step 6: Final answer
    x = 17,229.25

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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.