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Finding the Fourth Proportional to 6,581, 9,869.36 and 2,197.28

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Solution

The fourth proportional to 6,581, 9,869.36 and 2,197.28 is: 3,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581 : 9,869.36 = 2,197.28 : x
  2. Step 2: Convert to fraction form
    6,581/9,869.36 = 2,197.28/x
  3. Step 3: Cross multiply
    6,581x = 9,869.36 × 2,197.28
  4. Step 4: Simplify right side
    6,581x = 21,685,747.34
  5. Step 5: Solve for x
    x = 21,685,747.34/6,581
  6. Step 6: Final answer
    x = 3,295.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.