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Finding the Fourth Proportional to 11,197.67, 16,799.01 and 3,407.09

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Solution

The fourth proportional to 11,197.67, 16,799.01 and 3,407.09 is: 5,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.67 : 16,799.01 = 3,407.09 : x
  2. Step 2: Convert to fraction form
    11,197.67/16,799.01 = 3,407.09/x
  3. Step 3: Cross multiply
    11,197.67x = 16,799.01 × 3,407.09
  4. Step 4: Simplify right side
    11,197.67x = 57,235,721.95
  5. Step 5: Solve for x
    x = 57,235,721.95/11,197.67
  6. Step 6: Final answer
    x = 5,111.40

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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.