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Finding the Fourth Proportional to 27,854.80, 41,779.22 and 7,863.80

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Solution

The fourth proportional to 27,854.80, 41,779.22 and 7,863.80 is: 11,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.80 : 41,779.22 = 7,863.80 : x
  2. Step 2: Convert to fraction form
    27,854.80/41,779.22 = 7,863.80/x
  3. Step 3: Cross multiply
    27,854.80x = 41,779.22 × 7,863.80
  4. Step 4: Simplify right side
    27,854.80x = 328,543,430.24
  5. Step 5: Solve for x
    x = 328,543,430.24/27,854.80
  6. Step 6: Final answer
    x = 11,794.86

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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.