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Finding the Fourth Proportional to 6,969, 10,457.09 and 4,630.62

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Solution

The fourth proportional to 6,969, 10,457.09 and 4,630.62 is: 6,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969 : 10,457.09 = 4,630.62 : x
  2. Step 2: Convert to fraction form
    6,969/10,457.09 = 4,630.62/x
  3. Step 3: Cross multiply
    6,969x = 10,457.09 × 4,630.62
  4. Step 4: Simplify right side
    6,969x = 48,422,786.94
  5. Step 5: Solve for x
    x = 48,422,786.94/6,969
  6. Step 6: Final answer
    x = 6,948.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.