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Finding the Fourth Proportional to 6,396.80, 9,595.20 and 4,631

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Solution

The fourth proportional to 6,396.80, 9,595.20 and 4,631 is: 6,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.80 : 9,595.20 = 4,631 : x
  2. Step 2: Convert to fraction form
    6,396.80/9,595.20 = 4,631/x
  3. Step 3: Cross multiply
    6,396.80x = 9,595.20 × 4,631
  4. Step 4: Simplify right side
    6,396.80x = 44,435,371.20
  5. Step 5: Solve for x
    x = 44,435,371.20/6,396.80
  6. Step 6: Final answer
    x = 6,946.50

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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.