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Finding the Fourth Proportional to 6,308.69, 9,462.99 and 1,628.30

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Solution

The fourth proportional to 6,308.69, 9,462.99 and 1,628.30 is: 2,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.69 : 9,462.99 = 1,628.30 : x
  2. Step 2: Convert to fraction form
    6,308.69/9,462.99 = 1,628.30/x
  3. Step 3: Cross multiply
    6,308.69x = 9,462.99 × 1,628.30
  4. Step 4: Simplify right side
    6,308.69x = 15,408,586.62
  5. Step 5: Solve for x
    x = 15,408,586.62/6,308.69
  6. Step 6: Final answer
    x = 2,442.44

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1.5x scale

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.