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Finding the Fourth Proportional to 6,572.45, 9,858.69 and 1,642.08

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Solution

The fourth proportional to 6,572.45, 9,858.69 and 1,642.08 is: 2,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.45 : 9,858.69 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    6,572.45/9,858.69 = 1,642.08/x
  3. Step 3: Cross multiply
    6,572.45x = 9,858.69 × 1,642.08
  4. Step 4: Simplify right side
    6,572.45x = 16,188,757.68
  5. Step 5: Solve for x
    x = 16,188,757.68/6,572.45
  6. Step 6: Final answer
    x = 2,463.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.