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Finding the Fourth Proportional to 27,402, 41,102.96 and 6,625.48

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Solution

The fourth proportional to 27,402, 41,102.96 and 6,625.48 is: 9,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402 : 41,102.96 = 6,625.48 : x
  2. Step 2: Convert to fraction form
    27,402/41,102.96 = 6,625.48/x
  3. Step 3: Cross multiply
    27,402x = 41,102.96 × 6,625.48
  4. Step 4: Simplify right side
    27,402x = 272,326,839.42
  5. Step 5: Solve for x
    x = 272,326,839.42/27,402
  6. Step 6: Final answer
    x = 9,938.21

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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.