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Finding the Fourth Proportional to 6,758.56, 9,329.04 and 3,964

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Solution

The fourth proportional to 6,758.56, 9,329.04 and 3,964 is: 5,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.56 : 9,329.04 = 3,964 : x
  2. Step 2: Convert to fraction form
    6,758.56/9,329.04 = 3,964/x
  3. Step 3: Cross multiply
    6,758.56x = 9,329.04 × 3,964
  4. Step 4: Simplify right side
    6,758.56x = 36,980,314.56
  5. Step 5: Solve for x
    x = 36,980,314.56/6,758.56
  6. Step 6: Final answer
    x = 5,471.63

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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.