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Finding the Fourth Proportional to 27,877.14, 41,815.74 and 6,817.14

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Solution

The fourth proportional to 27,877.14, 41,815.74 and 6,817.14 is: 10,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.14 : 41,815.74 = 6,817.14 : x
  2. Step 2: Convert to fraction form
    27,877.14/41,815.74 = 6,817.14/x
  3. Step 3: Cross multiply
    27,877.14x = 41,815.74 × 6,817.14
  4. Step 4: Simplify right side
    27,877.14x = 285,063,753.78
  5. Step 5: Solve for x
    x = 285,063,753.78/27,877.14
  6. Step 6: Final answer
    x = 10,225.72

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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.