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Finding the Fourth Proportional to 6,609.86, 9,914.99 and 1,679.50

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Solution

The fourth proportional to 6,609.86, 9,914.99 and 1,679.50 is: 2,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.86 : 9,914.99 = 1,679.50 : x
  2. Step 2: Convert to fraction form
    6,609.86/9,914.99 = 1,679.50/x
  3. Step 3: Cross multiply
    6,609.86x = 9,914.99 × 1,679.50
  4. Step 4: Simplify right side
    6,609.86x = 16,652,225.71
  5. Step 5: Solve for x
    x = 16,652,225.71/6,609.86
  6. Step 6: Final answer
    x = 2,519.30

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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.