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Finding the Fourth Proportional to 6,574.40, 9,853.04 and 2,674.24

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Solution

The fourth proportional to 6,574.40, 9,853.04 and 2,674.24 is: 4,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.40 : 9,853.04 = 2,674.24 : x
  2. Step 2: Convert to fraction form
    6,574.40/9,853.04 = 2,674.24/x
  3. Step 3: Cross multiply
    6,574.40x = 9,853.04 × 2,674.24
  4. Step 4: Simplify right side
    6,574.40x = 26,349,393.69
  5. Step 5: Solve for x
    x = 26,349,393.69/6,574.40
  6. Step 6: Final answer
    x = 4,007.88

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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.