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Finding the Fourth Proportional to 6,574.29, 9,861.38 and 1,643.90

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Solution

The fourth proportional to 6,574.29, 9,861.38 and 1,643.90 is: 2,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.29 : 9,861.38 = 1,643.90 : x
  2. Step 2: Convert to fraction form
    6,574.29/9,861.38 = 1,643.90/x
  3. Step 3: Cross multiply
    6,574.29x = 9,861.38 × 1,643.90
  4. Step 4: Simplify right side
    6,574.29x = 16,211,122.58
  5. Step 5: Solve for x
    x = 16,211,122.58/6,574.29
  6. Step 6: Final answer
    x = 2,465.84

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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.