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Finding the Fourth Proportional to 27,502.75, 41,255.72 and 7,779.66

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Solution

The fourth proportional to 27,502.75, 41,255.72 and 7,779.66 is: 11,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.75 : 41,255.72 = 7,779.66 : x
  2. Step 2: Convert to fraction form
    27,502.75/41,255.72 = 7,779.66/x
  3. Step 3: Cross multiply
    27,502.75x = 41,255.72 × 7,779.66
  4. Step 4: Simplify right side
    27,502.75x = 320,955,310.22
  5. Step 5: Solve for x
    x = 320,955,310.22/27,502.75
  6. Step 6: Final answer
    x = 11,669.93

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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.