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Finding the Fourth Proportional to 6,505.80, 9,744.30 and 3,913.80

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Solution

The fourth proportional to 6,505.80, 9,744.30 and 3,913.80 is: 5,862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.80 : 9,744.30 = 3,913.80 : x
  2. Step 2: Convert to fraction form
    6,505.80/9,744.30 = 3,913.80/x
  3. Step 3: Cross multiply
    6,505.80x = 9,744.30 × 3,913.80
  4. Step 4: Simplify right side
    6,505.80x = 38,137,241.34
  5. Step 5: Solve for x
    x = 38,137,241.34/6,505.80
  6. Step 6: Final answer
    x = 5,862.04

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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.