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Finding the Fourth Proportional to 27,605.44, 41,409.54 and 7,886.92

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Solution

The fourth proportional to 27,605.44, 41,409.54 and 7,886.92 is: 11,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.44 : 41,409.54 = 7,886.92 : x
  2. Step 2: Convert to fraction form
    27,605.44/41,409.54 = 7,886.92/x
  3. Step 3: Cross multiply
    27,605.44x = 41,409.54 × 7,886.92
  4. Step 4: Simplify right side
    27,605.44x = 326,593,729.22
  5. Step 5: Solve for x
    x = 326,593,729.22/27,605.44
  6. Step 6: Final answer
    x = 11,830.77

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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.