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Finding the Fourth Proportional to 7,174.33, 10,762.71 and 2,243

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Solution

The fourth proportional to 7,174.33, 10,762.71 and 2,243 is: 3,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.33 : 10,762.71 = 2,243 : x
  2. Step 2: Convert to fraction form
    7,174.33/10,762.71 = 2,243/x
  3. Step 3: Cross multiply
    7,174.33x = 10,762.71 × 2,243
  4. Step 4: Simplify right side
    7,174.33x = 24,140,758.53
  5. Step 5: Solve for x
    x = 24,140,758.53/7,174.33
  6. Step 6: Final answer
    x = 3,364.88

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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.