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Finding the Fourth Proportional to 27,934.73, 41,901.08 and 9,214.25

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Solution

The fourth proportional to 27,934.73, 41,901.08 and 9,214.25 is: 13,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.73 : 41,901.08 = 9,214.25 : x
  2. Step 2: Convert to fraction form
    27,934.73/41,901.08 = 9,214.25/x
  3. Step 3: Cross multiply
    27,934.73x = 41,901.08 × 9,214.25
  4. Step 4: Simplify right side
    27,934.73x = 386,086,770.81
  5. Step 5: Solve for x
    x = 386,086,770.81/27,934.73
  6. Step 6: Final answer
    x = 13,821.03

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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.