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Finding the Fourth Proportional to 6,630.25, 9,946.59 and 3,167.50

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Solution

The fourth proportional to 6,630.25, 9,946.59 and 3,167.50 is: 4,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.25 : 9,946.59 = 3,167.50 : x
  2. Step 2: Convert to fraction form
    6,630.25/9,946.59 = 3,167.50/x
  3. Step 3: Cross multiply
    6,630.25x = 9,946.59 × 3,167.50
  4. Step 4: Simplify right side
    6,630.25x = 31,505,823.83
  5. Step 5: Solve for x
    x = 31,505,823.83/6,630.25
  6. Step 6: Final answer
    x = 4,751.83

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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.