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Finding the Fourth Proportional to 6,475.50, 9,713.97 and 2,371.50

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Solution

The fourth proportional to 6,475.50, 9,713.97 and 2,371.50 is: 3,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.50 : 9,713.97 = 2,371.50 : x
  2. Step 2: Convert to fraction form
    6,475.50/9,713.97 = 2,371.50/x
  3. Step 3: Cross multiply
    6,475.50x = 9,713.97 × 2,371.50
  4. Step 4: Simplify right side
    6,475.50x = 23,036,679.86
  5. Step 5: Solve for x
    x = 23,036,679.86/6,475.50
  6. Step 6: Final answer
    x = 3,557.51

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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.