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Finding the Fourth Proportional to 9,201.54, 13,759.92 and 6,834.09

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Solution

The fourth proportional to 9,201.54, 13,759.92 and 6,834.09 is: 10,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.54 : 13,759.92 = 6,834.09 : x
  2. Step 2: Convert to fraction form
    9,201.54/13,759.92 = 6,834.09/x
  3. Step 3: Cross multiply
    9,201.54x = 13,759.92 × 6,834.09
  4. Step 4: Simplify right side
    9,201.54x = 94,036,531.67
  5. Step 5: Solve for x
    x = 94,036,531.67/9,201.54
  6. Step 6: Final answer
    x = 10,219.65

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1.5x scale

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.