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Finding the Fourth Proportional to 27,278.56, 40,926.48 and 9,748

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Solution

The fourth proportional to 27,278.56, 40,926.48 and 9,748 is: 14,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,278.56 : 40,926.48 = 9,748 : x
  2. Step 2: Convert to fraction form
    27,278.56/40,926.48 = 9,748/x
  3. Step 3: Cross multiply
    27,278.56x = 40,926.48 × 9,748
  4. Step 4: Simplify right side
    27,278.56x = 398,951,327.04
  5. Step 5: Solve for x
    x = 398,951,327.04/27,278.56
  6. Step 6: Final answer
    x = 14,625.09

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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.