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Finding the Fourth Proportional to 27,354.82, 41,032.41 and 9,824.80

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Solution

The fourth proportional to 27,354.82, 41,032.41 and 9,824.80 is: 14,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354.82 : 41,032.41 = 9,824.80 : x
  2. Step 2: Convert to fraction form
    27,354.82/41,032.41 = 9,824.80/x
  3. Step 3: Cross multiply
    27,354.82x = 41,032.41 × 9,824.80
  4. Step 4: Simplify right side
    27,354.82x = 403,135,221.77
  5. Step 5: Solve for x
    x = 403,135,221.77/27,354.82
  6. Step 6: Final answer
    x = 14,737.26

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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.