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Finding the Fourth Proportional to 6,328.50, 9,490.77 and 4,567.96

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Solution

The fourth proportional to 6,328.50, 9,490.77 and 4,567.96 is: 6,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.50 : 9,490.77 = 4,567.96 : x
  2. Step 2: Convert to fraction form
    6,328.50/9,490.77 = 4,567.96/x
  3. Step 3: Cross multiply
    6,328.50x = 9,490.77 × 4,567.96
  4. Step 4: Simplify right side
    6,328.50x = 43,353,469.59
  5. Step 5: Solve for x
    x = 43,353,469.59/6,328.50
  6. Step 6: Final answer
    x = 6,850.52

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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.