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Finding the Fourth Proportional to 7,125.78, 9,834.03 and 3,982.20

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Solution

The fourth proportional to 7,125.78, 9,834.03 and 3,982.20 is: 5,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.78 : 9,834.03 = 3,982.20 : x
  2. Step 2: Convert to fraction form
    7,125.78/9,834.03 = 3,982.20/x
  3. Step 3: Cross multiply
    7,125.78x = 9,834.03 × 3,982.20
  4. Step 4: Simplify right side
    7,125.78x = 39,161,074.27
  5. Step 5: Solve for x
    x = 39,161,074.27/7,125.78
  6. Step 6: Final answer
    x = 5,495.69

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1.5x scale

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.