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Finding the Fourth Proportional to 6,012.72, 9,017.67 and 1,630.50

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Solution

The fourth proportional to 6,012.72, 9,017.67 and 1,630.50 is: 2,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.72 : 9,017.67 = 1,630.50 : x
  2. Step 2: Convert to fraction form
    6,012.72/9,017.67 = 1,630.50/x
  3. Step 3: Cross multiply
    6,012.72x = 9,017.67 × 1,630.50
  4. Step 4: Simplify right side
    6,012.72x = 14,703,310.94
  5. Step 5: Solve for x
    x = 14,703,310.94/6,012.72
  6. Step 6: Final answer
    x = 2,445.37

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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.