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Finding the Fourth Proportional to 6,789.65, 10,184.04 and 2,347.19

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Solution

The fourth proportional to 6,789.65, 10,184.04 and 2,347.19 is: 3,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.65 : 10,184.04 = 2,347.19 : x
  2. Step 2: Convert to fraction form
    6,789.65/10,184.04 = 2,347.19/x
  3. Step 3: Cross multiply
    6,789.65x = 10,184.04 × 2,347.19
  4. Step 4: Simplify right side
    6,789.65x = 23,903,866.89
  5. Step 5: Solve for x
    x = 23,903,866.89/6,789.65
  6. Step 6: Final answer
    x = 3,520.63

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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.