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Finding the Fourth Proportional to 27,874.96, 41,812.28 and 6,815.12

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Solution

The fourth proportional to 27,874.96, 41,812.28 and 6,815.12 is: 10,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.96 : 41,812.28 = 6,815.12 : x
  2. Step 2: Convert to fraction form
    27,874.96/41,812.28 = 6,815.12/x
  3. Step 3: Cross multiply
    27,874.96x = 41,812.28 × 6,815.12
  4. Step 4: Simplify right side
    27,874.96x = 284,955,705.67
  5. Step 5: Solve for x
    x = 284,955,705.67/27,874.96
  6. Step 6: Final answer
    x = 10,222.64

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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.