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Finding the Fourth Proportional to 6,385, 9,568.23 and 4,539.82

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Solution

The fourth proportional to 6,385, 9,568.23 and 4,539.82 is: 6,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385 : 9,568.23 = 4,539.82 : x
  2. Step 2: Convert to fraction form
    6,385/9,568.23 = 4,539.82/x
  3. Step 3: Cross multiply
    6,385x = 9,568.23 × 4,539.82
  4. Step 4: Simplify right side
    6,385x = 43,438,041.92
  5. Step 5: Solve for x
    x = 43,438,041.92/6,385
  6. Step 6: Final answer
    x = 6,803.14

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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.