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Finding the Fourth Proportional to 6,463.30, 9,695.22 and 3,860.50

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Solution

The fourth proportional to 6,463.30, 9,695.22 and 3,860.50 is: 5,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.30 : 9,695.22 = 3,860.50 : x
  2. Step 2: Convert to fraction form
    6,463.30/9,695.22 = 3,860.50/x
  3. Step 3: Cross multiply
    6,463.30x = 9,695.22 × 3,860.50
  4. Step 4: Simplify right side
    6,463.30x = 37,428,396.81
  5. Step 5: Solve for x
    x = 37,428,396.81/6,463.30
  6. Step 6: Final answer
    x = 5,790.91

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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.