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Finding the Fourth Proportional to 7,297.57, 10,950 and 2,918.71

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Solution

The fourth proportional to 7,297.57, 10,950 and 2,918.71 is: 4,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.57 : 10,950 = 2,918.71 : x
  2. Step 2: Convert to fraction form
    7,297.57/10,950 = 2,918.71/x
  3. Step 3: Cross multiply
    7,297.57x = 10,950 × 2,918.71
  4. Step 4: Simplify right side
    7,297.57x = 31,959,874.50
  5. Step 5: Solve for x
    x = 31,959,874.50/7,297.57
  6. Step 6: Final answer
    x = 4,379.52

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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.