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Finding the Fourth Proportional to 6,441.70, 9,662.09 and 1,999.25

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Solution

The fourth proportional to 6,441.70, 9,662.09 and 1,999.25 is: 2,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.70 : 9,662.09 = 1,999.25 : x
  2. Step 2: Convert to fraction form
    6,441.70/9,662.09 = 1,999.25/x
  3. Step 3: Cross multiply
    6,441.70x = 9,662.09 × 1,999.25
  4. Step 4: Simplify right side
    6,441.70x = 19,316,973.38
  5. Step 5: Solve for x
    x = 19,316,973.38/6,441.70
  6. Step 6: Final answer
    x = 2,998.74

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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.