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Finding the Fourth Proportional to 6,713, 10,070.94 and 2,609

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Solution

The fourth proportional to 6,713, 10,070.94 and 2,609 is: 3,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713 : 10,070.94 = 2,609 : x
  2. Step 2: Convert to fraction form
    6,713/10,070.94 = 2,609/x
  3. Step 3: Cross multiply
    6,713x = 10,070.94 × 2,609
  4. Step 4: Simplify right side
    6,713x = 26,275,082.46
  5. Step 5: Solve for x
    x = 26,275,082.46/6,713
  6. Step 6: Final answer
    x = 3,914.06

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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.