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Finding the Fourth Proportional to 6,649.60, 9,971.35 and 2,265.27

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Solution

The fourth proportional to 6,649.60, 9,971.35 and 2,265.27 is: 3,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.60 : 9,971.35 = 2,265.27 : x
  2. Step 2: Convert to fraction form
    6,649.60/9,971.35 = 2,265.27/x
  3. Step 3: Cross multiply
    6,649.60x = 9,971.35 × 2,265.27
  4. Step 4: Simplify right side
    6,649.60x = 22,587,800.01
  5. Step 5: Solve for x
    x = 22,587,800.01/6,649.60
  6. Step 6: Final answer
    x = 3,396.87

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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.