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Finding the Fourth Proportional to 6,758.46, 9,328.47 and 3,965.82

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Solution

The fourth proportional to 6,758.46, 9,328.47 and 3,965.82 is: 5,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.46 : 9,328.47 = 3,965.82 : x
  2. Step 2: Convert to fraction form
    6,758.46/9,328.47 = 3,965.82/x
  3. Step 3: Cross multiply
    6,758.46x = 9,328.47 × 3,965.82
  4. Step 4: Simplify right side
    6,758.46x = 36,995,032.90
  5. Step 5: Solve for x
    x = 36,995,032.90/6,758.46
  6. Step 6: Final answer
    x = 5,473.89

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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.