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Finding the Fourth Proportional to 7,263, 10,022.98 and 3,951

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Solution

The fourth proportional to 7,263, 10,022.98 and 3,951 is: 5,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263 : 10,022.98 = 3,951 : x
  2. Step 2: Convert to fraction form
    7,263/10,022.98 = 3,951/x
  3. Step 3: Cross multiply
    7,263x = 10,022.98 × 3,951
  4. Step 4: Simplify right side
    7,263x = 39,600,793.98
  5. Step 5: Solve for x
    x = 39,600,793.98/7,263
  6. Step 6: Final answer
    x = 5,452.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.