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Finding the Fourth Proportional to 9,892.56, 14,828.41 and 6,771.73

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Solution

The fourth proportional to 9,892.56, 14,828.41 and 6,771.73 is: 10,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.56 : 14,828.41 = 6,771.73 : x
  2. Step 2: Convert to fraction form
    9,892.56/14,828.41 = 6,771.73/x
  3. Step 3: Cross multiply
    9,892.56x = 14,828.41 × 6,771.73
  4. Step 4: Simplify right side
    9,892.56x = 100,413,988.85
  5. Step 5: Solve for x
    x = 100,413,988.85/9,892.56
  6. Step 6: Final answer
    x = 10,150.46

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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.