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Finding the Fourth Proportional to 8,569.82, 11,832.09 and 6,576.86

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Solution

The fourth proportional to 8,569.82, 11,832.09 and 6,576.86 is: 9,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.82 : 11,832.09 = 6,576.86 : x
  2. Step 2: Convert to fraction form
    8,569.82/11,832.09 = 6,576.86/x
  3. Step 3: Cross multiply
    8,569.82x = 11,832.09 × 6,576.86
  4. Step 4: Simplify right side
    8,569.82x = 77,817,999.44
  5. Step 5: Solve for x
    x = 77,817,999.44/8,569.82
  6. Step 6: Final answer
    x = 9,080.47

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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.