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Finding the Fourth Proportional to 6,536.22, 9,794.97 and 5,068.50

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Solution

The fourth proportional to 6,536.22, 9,794.97 and 5,068.50 is: 7,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.22 : 9,794.97 = 5,068.50 : x
  2. Step 2: Convert to fraction form
    6,536.22/9,794.97 = 5,068.50/x
  3. Step 3: Cross multiply
    6,536.22x = 9,794.97 × 5,068.50
  4. Step 4: Simplify right side
    6,536.22x = 49,645,805.45
  5. Step 5: Solve for x
    x = 49,645,805.45/6,536.22
  6. Step 6: Final answer
    x = 7,595.49

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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.