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Finding the Fourth Proportional to 6,463.56, 9,695.58 and 3,829.80

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Solution

The fourth proportional to 6,463.56, 9,695.58 and 3,829.80 is: 5,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.56 : 9,695.58 = 3,829.80 : x
  2. Step 2: Convert to fraction form
    6,463.56/9,695.58 = 3,829.80/x
  3. Step 3: Cross multiply
    6,463.56x = 9,695.58 × 3,829.80
  4. Step 4: Simplify right side
    6,463.56x = 37,132,132.28
  5. Step 5: Solve for x
    x = 37,132,132.28/6,463.56
  6. Step 6: Final answer
    x = 5,744.84

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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.