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Finding the Fourth Proportional to 27,383.40, 41,074.62 and 7,661.64

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Solution

The fourth proportional to 27,383.40, 41,074.62 and 7,661.64 is: 11,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,383.40 : 41,074.62 = 7,661.64 : x
  2. Step 2: Convert to fraction form
    27,383.40/41,074.62 = 7,661.64/x
  3. Step 3: Cross multiply
    27,383.40x = 41,074.62 × 7,661.64
  4. Step 4: Simplify right side
    27,383.40x = 314,698,951.58
  5. Step 5: Solve for x
    x = 314,698,951.58/27,383.40
  6. Step 6: Final answer
    x = 11,492.33

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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.