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Finding the Fourth Proportional to 9,999.14, 13,825.09 and 9,841.25

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Solution

The fourth proportional to 9,999.14, 13,825.09 and 9,841.25 is: 13,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.14 : 13,825.09 = 9,841.25 : x
  2. Step 2: Convert to fraction form
    9,999.14/13,825.09 = 9,841.25/x
  3. Step 3: Cross multiply
    9,999.14x = 13,825.09 × 9,841.25
  4. Step 4: Simplify right side
    9,999.14x = 136,056,213.83
  5. Step 5: Solve for x
    x = 136,056,213.83/9,999.14
  6. Step 6: Final answer
    x = 13,606.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.