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Finding the Fourth Proportional to 6,491.96, 9,733.68 and 3,207.20

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Solution

The fourth proportional to 6,491.96, 9,733.68 and 3,207.20 is: 4,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.96 : 9,733.68 = 3,207.20 : x
  2. Step 2: Convert to fraction form
    6,491.96/9,733.68 = 3,207.20/x
  3. Step 3: Cross multiply
    6,491.96x = 9,733.68 × 3,207.20
  4. Step 4: Simplify right side
    6,491.96x = 31,217,858.50
  5. Step 5: Solve for x
    x = 31,217,858.50/6,491.96
  6. Step 6: Final answer
    x = 4,808.70

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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.