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Finding the Fourth Proportional to 6,152.34, 9,223 and 2,255.82

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Solution

The fourth proportional to 6,152.34, 9,223 and 2,255.82 is: 3,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.34 : 9,223 = 2,255.82 : x
  2. Step 2: Convert to fraction form
    6,152.34/9,223 = 2,255.82/x
  3. Step 3: Cross multiply
    6,152.34x = 9,223 × 2,255.82
  4. Step 4: Simplify right side
    6,152.34x = 20,805,427.86
  5. Step 5: Solve for x
    x = 20,805,427.86/6,152.34
  6. Step 6: Final answer
    x = 3,381.71

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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.