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Finding the Fourth Proportional to 6,531.86, 9,790.52 and 3,247.34

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Solution

The fourth proportional to 6,531.86, 9,790.52 and 3,247.34 is: 4,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.86 : 9,790.52 = 3,247.34 : x
  2. Step 2: Convert to fraction form
    6,531.86/9,790.52 = 3,247.34/x
  3. Step 3: Cross multiply
    6,531.86x = 9,790.52 × 3,247.34
  4. Step 4: Simplify right side
    6,531.86x = 31,793,106.38
  5. Step 5: Solve for x
    x = 31,793,106.38/6,531.86
  6. Step 6: Final answer
    x = 4,867.39

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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.