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Finding the Fourth Proportional to 27,314.96, 40,982.26 and 9,548.22

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Solution

The fourth proportional to 27,314.96, 40,982.26 and 9,548.22 is: 14,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.96 : 40,982.26 = 9,548.22 : x
  2. Step 2: Convert to fraction form
    27,314.96/40,982.26 = 9,548.22/x
  3. Step 3: Cross multiply
    27,314.96x = 40,982.26 × 9,548.22
  4. Step 4: Simplify right side
    27,314.96x = 391,307,634.58
  5. Step 5: Solve for x
    x = 391,307,634.58/27,314.96
  6. Step 6: Final answer
    x = 14,325.76

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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.