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Finding the Fourth Proportional to 6,970.05, 10,457.51 and 3,274.43

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Solution

The fourth proportional to 6,970.05, 10,457.51 and 3,274.43 is: 4,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.05 : 10,457.51 = 3,274.43 : x
  2. Step 2: Convert to fraction form
    6,970.05/10,457.51 = 3,274.43/x
  3. Step 3: Cross multiply
    6,970.05x = 10,457.51 × 3,274.43
  4. Step 4: Simplify right side
    6,970.05x = 34,242,315.81
  5. Step 5: Solve for x
    x = 34,242,315.81/6,970.05
  6. Step 6: Final answer
    x = 4,912.78

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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.