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Finding the Fourth Proportional to 6,914, 9,538.03 and 4,676.66

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Solution

The fourth proportional to 6,914, 9,538.03 and 4,676.66 is: 6,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914 : 9,538.03 = 4,676.66 : x
  2. Step 2: Convert to fraction form
    6,914/9,538.03 = 4,676.66/x
  3. Step 3: Cross multiply
    6,914x = 9,538.03 × 4,676.66
  4. Step 4: Simplify right side
    6,914x = 44,606,123.38
  5. Step 5: Solve for x
    x = 44,606,123.38/6,914
  6. Step 6: Final answer
    x = 6,451.57

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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.