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Finding the Fourth Proportional to 9,996.33, 14,971.14 and 7,902.27

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Solution

The fourth proportional to 9,996.33, 14,971.14 and 7,902.27 is: 11,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.33 : 14,971.14 = 7,902.27 : x
  2. Step 2: Convert to fraction form
    9,996.33/14,971.14 = 7,902.27/x
  3. Step 3: Cross multiply
    9,996.33x = 14,971.14 × 7,902.27
  4. Step 4: Simplify right side
    9,996.33x = 118,305,990.49
  5. Step 5: Solve for x
    x = 118,305,990.49/9,996.33
  6. Step 6: Final answer
    x = 11,834.94

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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.