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Finding the Fourth Proportional to 11,862.31, 17,793.11 and 3,097.22

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Solution

The fourth proportional to 11,862.31, 17,793.11 and 3,097.22 is: 4,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.31 : 17,793.11 = 3,097.22 : x
  2. Step 2: Convert to fraction form
    11,862.31/17,793.11 = 3,097.22/x
  3. Step 3: Cross multiply
    11,862.31x = 17,793.11 × 3,097.22
  4. Step 4: Simplify right side
    11,862.31x = 55,109,199.37
  5. Step 5: Solve for x
    x = 55,109,199.37/11,862.31
  6. Step 6: Final answer
    x = 4,645.74

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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.