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Finding the Fourth Proportional to 7,197.50, 10,791.64 and 3,036.38

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Solution

The fourth proportional to 7,197.50, 10,791.64 and 3,036.38 is: 4,552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.50 : 10,791.64 = 3,036.38 : x
  2. Step 2: Convert to fraction form
    7,197.50/10,791.64 = 3,036.38/x
  3. Step 3: Cross multiply
    7,197.50x = 10,791.64 × 3,036.38
  4. Step 4: Simplify right side
    7,197.50x = 32,767,458.31
  5. Step 5: Solve for x
    x = 32,767,458.31/7,197.50
  6. Step 6: Final answer
    x = 4,552.62

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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.