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Finding the Fourth Proportional to 27,814.32, 41,720.76 and 8,098.32

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Solution

The fourth proportional to 27,814.32, 41,720.76 and 8,098.32 is: 12,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.32 : 41,720.76 = 8,098.32 : x
  2. Step 2: Convert to fraction form
    27,814.32/41,720.76 = 8,098.32/x
  3. Step 3: Cross multiply
    27,814.32x = 41,720.76 × 8,098.32
  4. Step 4: Simplify right side
    27,814.32x = 337,868,065.12
  5. Step 5: Solve for x
    x = 337,868,065.12/27,814.32
  6. Step 6: Final answer
    x = 12,147.27

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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.