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Finding the Fourth Proportional to 6,357.92, 9,539.71 and 2,462.63

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Solution

The fourth proportional to 6,357.92, 9,539.71 and 2,462.63 is: 3,695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.92 : 9,539.71 = 2,462.63 : x
  2. Step 2: Convert to fraction form
    6,357.92/9,539.71 = 2,462.63/x
  3. Step 3: Cross multiply
    6,357.92x = 9,539.71 × 2,462.63
  4. Step 4: Simplify right side
    6,357.92x = 23,492,716.03
  5. Step 5: Solve for x
    x = 23,492,716.03/6,357.92
  6. Step 6: Final answer
    x = 3,695.03

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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.