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Finding the Fourth Proportional to 6,386.67, 9,579.96 and 1,769.67

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Solution

The fourth proportional to 6,386.67, 9,579.96 and 1,769.67 is: 2,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.67 : 9,579.96 = 1,769.67 : x
  2. Step 2: Convert to fraction form
    6,386.67/9,579.96 = 1,769.67/x
  3. Step 3: Cross multiply
    6,386.67x = 9,579.96 × 1,769.67
  4. Step 4: Simplify right side
    6,386.67x = 16,953,367.81
  5. Step 5: Solve for x
    x = 16,953,367.81/6,386.67
  6. Step 6: Final answer
    x = 2,654.49

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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.