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Finding the Fourth Proportional to 6,757.52, 10,140.80 and 2,374.96

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Solution

The fourth proportional to 6,757.52, 10,140.80 and 2,374.96 is: 3,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.52 : 10,140.80 = 2,374.96 : x
  2. Step 2: Convert to fraction form
    6,757.52/10,140.80 = 2,374.96/x
  3. Step 3: Cross multiply
    6,757.52x = 10,140.80 × 2,374.96
  4. Step 4: Simplify right side
    6,757.52x = 24,083,994.37
  5. Step 5: Solve for x
    x = 24,083,994.37/6,757.52
  6. Step 6: Final answer
    x = 3,564.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.