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Finding the Fourth Proportional to 6,868.65, 10,295.80 and 3,173.31

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Solution

The fourth proportional to 6,868.65, 10,295.80 and 3,173.31 is: 4,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.65 : 10,295.80 = 3,173.31 : x
  2. Step 2: Convert to fraction form
    6,868.65/10,295.80 = 3,173.31/x
  3. Step 3: Cross multiply
    6,868.65x = 10,295.80 × 3,173.31
  4. Step 4: Simplify right side
    6,868.65x = 32,671,757.16
  5. Step 5: Solve for x
    x = 32,671,757.16/6,868.65
  6. Step 6: Final answer
    x = 4,756.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.