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Finding the Fourth Proportional to 6,971.82, 10,457.22 and 3,274.89

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Solution

The fourth proportional to 6,971.82, 10,457.22 and 3,274.89 is: 4,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.82 : 10,457.22 = 3,274.89 : x
  2. Step 2: Convert to fraction form
    6,971.82/10,457.22 = 3,274.89/x
  3. Step 3: Cross multiply
    6,971.82x = 10,457.22 × 3,274.89
  4. Step 4: Simplify right side
    6,971.82x = 34,246,245.21
  5. Step 5: Solve for x
    x = 34,246,245.21/6,971.82
  6. Step 6: Final answer
    x = 4,912.10

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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.