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Finding the Fourth Proportional to 6,964.03, 10,446.96 and 3,677.25

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Solution

The fourth proportional to 6,964.03, 10,446.96 and 3,677.25 is: 5,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.03 : 10,446.96 = 3,677.25 : x
  2. Step 2: Convert to fraction form
    6,964.03/10,446.96 = 3,677.25/x
  3. Step 3: Cross multiply
    6,964.03x = 10,446.96 × 3,677.25
  4. Step 4: Simplify right side
    6,964.03x = 38,416,083.66
  5. Step 5: Solve for x
    x = 38,416,083.66/6,964.03
  6. Step 6: Final answer
    x = 5,516.36

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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.