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Finding the Fourth Proportional to 6,572.39, 9,858.57 and 1,642.01

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Solution

The fourth proportional to 6,572.39, 9,858.57 and 1,642.01 is: 2,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.39 : 9,858.57 = 1,642.01 : x
  2. Step 2: Convert to fraction form
    6,572.39/9,858.57 = 1,642.01/x
  3. Step 3: Cross multiply
    6,572.39x = 9,858.57 × 1,642.01
  4. Step 4: Simplify right side
    6,572.39x = 16,187,821.23
  5. Step 5: Solve for x
    x = 16,187,821.23/6,572.39
  6. Step 6: Final answer
    x = 2,463.01

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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.