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Finding the Fourth Proportional to 6,574.07, 9,861.11 and 1,643.70

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Solution

The fourth proportional to 6,574.07, 9,861.11 and 1,643.70 is: 2,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.07 : 9,861.11 = 1,643.70 : x
  2. Step 2: Convert to fraction form
    6,574.07/9,861.11 = 1,643.70/x
  3. Step 3: Cross multiply
    6,574.07x = 9,861.11 × 1,643.70
  4. Step 4: Simplify right side
    6,574.07x = 16,208,698.29
  5. Step 5: Solve for x
    x = 16,208,698.29/6,574.07
  6. Step 6: Final answer
    x = 2,465.55

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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.