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Finding the Fourth Proportional to 27,550.33, 41,325.84 and 7,828.86

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Solution

The fourth proportional to 27,550.33, 41,325.84 and 7,828.86 is: 11,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,550.33 : 41,325.84 = 7,828.86 : x
  2. Step 2: Convert to fraction form
    27,550.33/41,325.84 = 7,828.86/x
  3. Step 3: Cross multiply
    27,550.33x = 41,325.84 × 7,828.86
  4. Step 4: Simplify right side
    27,550.33x = 323,534,009.11
  5. Step 5: Solve for x
    x = 323,534,009.11/27,550.33
  6. Step 6: Final answer
    x = 11,743.38

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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.