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Finding the Fourth Proportional to 6,536.80, 9,809.25 and 2,641.24

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Solution

The fourth proportional to 6,536.80, 9,809.25 and 2,641.24 is: 3,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.80 : 9,809.25 = 2,641.24 : x
  2. Step 2: Convert to fraction form
    6,536.80/9,809.25 = 2,641.24/x
  3. Step 3: Cross multiply
    6,536.80x = 9,809.25 × 2,641.24
  4. Step 4: Simplify right side
    6,536.80x = 25,908,583.47
  5. Step 5: Solve for x
    x = 25,908,583.47/6,536.80
  6. Step 6: Final answer
    x = 3,963.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.