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Finding the Fourth Proportional to 27,597.39, 41,387.82 and 9,824.86

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Solution

The fourth proportional to 27,597.39, 41,387.82 and 9,824.86 is: 14,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.39 : 41,387.82 = 9,824.86 : x
  2. Step 2: Convert to fraction form
    27,597.39/41,387.82 = 9,824.86/x
  3. Step 3: Cross multiply
    27,597.39x = 41,387.82 × 9,824.86
  4. Step 4: Simplify right side
    27,597.39x = 406,629,537.21
  5. Step 5: Solve for x
    x = 406,629,537.21/27,597.39
  6. Step 6: Final answer
    x = 14,734.35

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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.