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Finding the Fourth Proportional to 6,378.48, 9,567.90 and 2,676.60

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Solution

The fourth proportional to 6,378.48, 9,567.90 and 2,676.60 is: 4,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.48 : 9,567.90 = 2,676.60 : x
  2. Step 2: Convert to fraction form
    6,378.48/9,567.90 = 2,676.60/x
  3. Step 3: Cross multiply
    6,378.48x = 9,567.90 × 2,676.60
  4. Step 4: Simplify right side
    6,378.48x = 25,609,441.14
  5. Step 5: Solve for x
    x = 25,609,441.14/6,378.48
  6. Step 6: Final answer
    x = 4,014.98

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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.