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Finding the Fourth Proportional to 6,571.80, 9,069.27 and 3,587.82

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Solution

The fourth proportional to 6,571.80, 9,069.27 and 3,587.82 is: 4,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.80 : 9,069.27 = 3,587.82 : x
  2. Step 2: Convert to fraction form
    6,571.80/9,069.27 = 3,587.82/x
  3. Step 3: Cross multiply
    6,571.80x = 9,069.27 × 3,587.82
  4. Step 4: Simplify right side
    6,571.80x = 32,538,908.29
  5. Step 5: Solve for x
    x = 32,538,908.29/6,571.80
  6. Step 6: Final answer
    x = 4,951.29

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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.