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Finding the Fourth Proportional to 6,504.99, 9,757.52 and 1,574.62

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Solution

The fourth proportional to 6,504.99, 9,757.52 and 1,574.62 is: 2,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.99 : 9,757.52 = 1,574.62 : x
  2. Step 2: Convert to fraction form
    6,504.99/9,757.52 = 1,574.62/x
  3. Step 3: Cross multiply
    6,504.99x = 9,757.52 × 1,574.62
  4. Step 4: Simplify right side
    6,504.99x = 15,364,417.91
  5. Step 5: Solve for x
    x = 15,364,417.91/6,504.99
  6. Step 6: Final answer
    x = 2,361.94

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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.