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Finding the Fourth Proportional to 6,536.69, 9,805.03 and 2,641.10

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Solution

The fourth proportional to 6,536.69, 9,805.03 and 2,641.10 is: 3,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.69 : 9,805.03 = 2,641.10 : x
  2. Step 2: Convert to fraction form
    6,536.69/9,805.03 = 2,641.10/x
  3. Step 3: Cross multiply
    6,536.69x = 9,805.03 × 2,641.10
  4. Step 4: Simplify right side
    6,536.69x = 25,896,015.71
  5. Step 5: Solve for x
    x = 25,896,015.71/6,536.69
  6. Step 6: Final answer
    x = 3,961.64

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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.