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Finding the Fourth Proportional to 9,832.67, 13,557.33 and 8,033.51

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Solution

The fourth proportional to 9,832.67, 13,557.33 and 8,033.51 is: 11,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.67 : 13,557.33 = 8,033.51 : x
  2. Step 2: Convert to fraction form
    9,832.67/13,557.33 = 8,033.51/x
  3. Step 3: Cross multiply
    9,832.67x = 13,557.33 × 8,033.51
  4. Step 4: Simplify right side
    9,832.67x = 108,912,949.90
  5. Step 5: Solve for x
    x = 108,912,949.90/9,832.67
  6. Step 6: Final answer
    x = 11,076.65

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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.