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Finding the Fourth Proportional to 7,906.10, 11,801.26 and 6,971.96

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Solution

The fourth proportional to 7,906.10, 11,801.26 and 6,971.96 is: 10,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.10 : 11,801.26 = 6,971.96 : x
  2. Step 2: Convert to fraction form
    7,906.10/11,801.26 = 6,971.96/x
  3. Step 3: Cross multiply
    7,906.10x = 11,801.26 × 6,971.96
  4. Step 4: Simplify right side
    7,906.10x = 82,277,912.67
  5. Step 5: Solve for x
    x = 82,277,912.67/7,906.10
  6. Step 6: Final answer
    x = 10,406.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.