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Finding the Fourth Proportional to 6,896.38, 9,506.81 and 5,382.23

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Solution

The fourth proportional to 6,896.38, 9,506.81 and 5,382.23 is: 7,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.38 : 9,506.81 = 5,382.23 : x
  2. Step 2: Convert to fraction form
    6,896.38/9,506.81 = 5,382.23/x
  3. Step 3: Cross multiply
    6,896.38x = 9,506.81 × 5,382.23
  4. Step 4: Simplify right side
    6,896.38x = 51,167,837.99
  5. Step 5: Solve for x
    x = 51,167,837.99/6,896.38
  6. Step 6: Final answer
    x = 7,419.52

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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.