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Finding the Fourth Proportional to 7,126.50, 9,834.50 and 3,940

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Solution

The fourth proportional to 7,126.50, 9,834.50 and 3,940 is: 5,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.50 : 9,834.50 = 3,940 : x
  2. Step 2: Convert to fraction form
    7,126.50/9,834.50 = 3,940/x
  3. Step 3: Cross multiply
    7,126.50x = 9,834.50 × 3,940
  4. Step 4: Simplify right side
    7,126.50x = 38,747,930
  5. Step 5: Solve for x
    x = 38,747,930/7,126.50
  6. Step 6: Final answer
    x = 5,437.16

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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.