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Finding the Fourth Proportional to 6,379.34, 9,568.49 and 4,032.50

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Solution

The fourth proportional to 6,379.34, 9,568.49 and 4,032.50 is: 6,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.34 : 9,568.49 = 4,032.50 : x
  2. Step 2: Convert to fraction form
    6,379.34/9,568.49 = 4,032.50/x
  3. Step 3: Cross multiply
    6,379.34x = 9,568.49 × 4,032.50
  4. Step 4: Simplify right side
    6,379.34x = 38,584,867.92
  5. Step 5: Solve for x
    x = 38,584,867.92/6,379.34
  6. Step 6: Final answer
    x = 6,048.42

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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.