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Finding the Fourth Proportional to 27,773.82, 41,652.09 and 9,301.50

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Solution

The fourth proportional to 27,773.82, 41,652.09 and 9,301.50 is: 13,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.82 : 41,652.09 = 9,301.50 : x
  2. Step 2: Convert to fraction form
    27,773.82/41,652.09 = 9,301.50/x
  3. Step 3: Cross multiply
    27,773.82x = 41,652.09 × 9,301.50
  4. Step 4: Simplify right side
    27,773.82x = 387,426,915.14
  5. Step 5: Solve for x
    x = 387,426,915.14/27,773.82
  6. Step 6: Final answer
    x = 13,949.36

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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.