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Finding the Fourth Proportional to 6,751.56, 9,314.28 and 4,231.95

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Solution

The fourth proportional to 6,751.56, 9,314.28 and 4,231.95 is: 5,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.56 : 9,314.28 = 4,231.95 : x
  2. Step 2: Convert to fraction form
    6,751.56/9,314.28 = 4,231.95/x
  3. Step 3: Cross multiply
    6,751.56x = 9,314.28 × 4,231.95
  4. Step 4: Simplify right side
    6,751.56x = 39,417,567.25
  5. Step 5: Solve for x
    x = 39,417,567.25/6,751.56
  6. Step 6: Final answer
    x = 5,838.29

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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.