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Finding the Fourth Proportional to 6,896.97, 9,509.33 and 5,832.83

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Solution

The fourth proportional to 6,896.97, 9,509.33 and 5,832.83 is: 8,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.97 : 9,509.33 = 5,832.83 : x
  2. Step 2: Convert to fraction form
    6,896.97/9,509.33 = 5,832.83/x
  3. Step 3: Cross multiply
    6,896.97x = 9,509.33 × 5,832.83
  4. Step 4: Simplify right side
    6,896.97x = 55,466,343.66
  5. Step 5: Solve for x
    x = 55,466,343.66/6,896.97
  6. Step 6: Final answer
    x = 8,042.13

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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.