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Finding the Fourth Proportional to 7,174.64, 10,761.96 and 3,274.50

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Solution

The fourth proportional to 7,174.64, 10,761.96 and 3,274.50 is: 4,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.64 : 10,761.96 = 3,274.50 : x
  2. Step 2: Convert to fraction form
    7,174.64/10,761.96 = 3,274.50/x
  3. Step 3: Cross multiply
    7,174.64x = 10,761.96 × 3,274.50
  4. Step 4: Simplify right side
    7,174.64x = 35,240,038.02
  5. Step 5: Solve for x
    x = 35,240,038.02/7,174.64
  6. Step 6: Final answer
    x = 4,911.75

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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.