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Finding the Fourth Proportional to 6,574.40, 9,856.80 and 2,676.80

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Solution

The fourth proportional to 6,574.40, 9,856.80 and 2,676.80 is: 4,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.40 : 9,856.80 = 2,676.80 : x
  2. Step 2: Convert to fraction form
    6,574.40/9,856.80 = 2,676.80/x
  3. Step 3: Cross multiply
    6,574.40x = 9,856.80 × 2,676.80
  4. Step 4: Simplify right side
    6,574.40x = 26,384,682.24
  5. Step 5: Solve for x
    x = 26,384,682.24/6,574.40
  6. Step 6: Final answer
    x = 4,013.25

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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.