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Finding the Fourth Proportional to 6,536.70, 9,783.45 and 5,067.90

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Solution

The fourth proportional to 6,536.70, 9,783.45 and 5,067.90 is: 7,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.70 : 9,783.45 = 5,067.90 : x
  2. Step 2: Convert to fraction form
    6,536.70/9,783.45 = 5,067.90/x
  3. Step 3: Cross multiply
    6,536.70x = 9,783.45 × 5,067.90
  4. Step 4: Simplify right side
    6,536.70x = 49,581,546.26
  5. Step 5: Solve for x
    x = 49,581,546.26/6,536.70
  6. Step 6: Final answer
    x = 7,585.10

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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.