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Finding the Fourth Proportional to 6,847.70, 10,265.55 and 4,649.30

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Solution

The fourth proportional to 6,847.70, 10,265.55 and 4,649.30 is: 6,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.70 : 10,265.55 = 4,649.30 : x
  2. Step 2: Convert to fraction form
    6,847.70/10,265.55 = 4,649.30/x
  3. Step 3: Cross multiply
    6,847.70x = 10,265.55 × 4,649.30
  4. Step 4: Simplify right side
    6,847.70x = 47,727,621.62
  5. Step 5: Solve for x
    x = 47,727,621.62/6,847.70
  6. Step 6: Final answer
    x = 6,969.88

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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.