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Finding the Fourth Proportional to 6,706, 9,254.28 and 3,911.52

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Solution

The fourth proportional to 6,706, 9,254.28 and 3,911.52 is: 5,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706 : 9,254.28 = 3,911.52 : x
  2. Step 2: Convert to fraction form
    6,706/9,254.28 = 3,911.52/x
  3. Step 3: Cross multiply
    6,706x = 9,254.28 × 3,911.52
  4. Step 4: Simplify right side
    6,706x = 36,198,301.31
  5. Step 5: Solve for x
    x = 36,198,301.31/6,706
  6. Step 6: Final answer
    x = 5,397.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.