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Finding the Fourth Proportional to 8,547.92, 11,791.56 and 5,896.64

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Solution

The fourth proportional to 8,547.92, 11,791.56 and 5,896.64 is: 8,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.92 : 11,791.56 = 5,896.64 : x
  2. Step 2: Convert to fraction form
    8,547.92/11,791.56 = 5,896.64/x
  3. Step 3: Cross multiply
    8,547.92x = 11,791.56 × 5,896.64
  4. Step 4: Simplify right side
    8,547.92x = 69,530,584.36
  5. Step 5: Solve for x
    x = 69,530,584.36/8,547.92
  6. Step 6: Final answer
    x = 8,134.21

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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.