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Finding the Fourth Proportional to 6,324.86, 9,479.90 and 4,759.84

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Solution

The fourth proportional to 6,324.86, 9,479.90 and 4,759.84 is: 7,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.86 : 9,479.90 = 4,759.84 : x
  2. Step 2: Convert to fraction form
    6,324.86/9,479.90 = 4,759.84/x
  3. Step 3: Cross multiply
    6,324.86x = 9,479.90 × 4,759.84
  4. Step 4: Simplify right side
    6,324.86x = 45,122,807.22
  5. Step 5: Solve for x
    x = 45,122,807.22/6,324.86
  6. Step 6: Final answer
    x = 7,134.20

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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.