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Finding the Fourth Proportional to 6,950.89, 9,592.28 and 3,967.66

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Solution

The fourth proportional to 6,950.89, 9,592.28 and 3,967.66 is: 5,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.89 : 9,592.28 = 3,967.66 : x
  2. Step 2: Convert to fraction form
    6,950.89/9,592.28 = 3,967.66/x
  3. Step 3: Cross multiply
    6,950.89x = 9,592.28 × 3,967.66
  4. Step 4: Simplify right side
    6,950.89x = 38,058,905.66
  5. Step 5: Solve for x
    x = 38,058,905.66/6,950.89
  6. Step 6: Final answer
    x = 5,475.40

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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.