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Finding the Fourth Proportional to 6,574.12, 9,857.94 and 2,410.99

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Solution

The fourth proportional to 6,574.12, 9,857.94 and 2,410.99 is: 3,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.12 : 9,857.94 = 2,410.99 : x
  2. Step 2: Convert to fraction form
    6,574.12/9,857.94 = 2,410.99/x
  3. Step 3: Cross multiply
    6,574.12x = 9,857.94 × 2,410.99
  4. Step 4: Simplify right side
    6,574.12x = 23,767,394.76
  5. Step 5: Solve for x
    x = 23,767,394.76/6,574.12
  6. Step 6: Final answer
    x = 3,615.30

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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.