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Finding the Fourth Proportional to 6,969, 9,606.96 and 4,450.80

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Solution

The fourth proportional to 6,969, 9,606.96 and 4,450.80 is: 6,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969 : 9,606.96 = 4,450.80 : x
  2. Step 2: Convert to fraction form
    6,969/9,606.96 = 4,450.80/x
  3. Step 3: Cross multiply
    6,969x = 9,606.96 × 4,450.80
  4. Step 4: Simplify right side
    6,969x = 42,758,657.57
  5. Step 5: Solve for x
    x = 42,758,657.57/6,969
  6. Step 6: Final answer
    x = 6,135.55

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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.