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Finding the Fourth Proportional to 6,174.24, 9,255.32 and 3,946.24

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Solution

The fourth proportional to 6,174.24, 9,255.32 and 3,946.24 is: 5,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.24 : 9,255.32 = 3,946.24 : x
  2. Step 2: Convert to fraction form
    6,174.24/9,255.32 = 3,946.24/x
  3. Step 3: Cross multiply
    6,174.24x = 9,255.32 × 3,946.24
  4. Step 4: Simplify right side
    6,174.24x = 36,523,714.00
  5. Step 5: Solve for x
    x = 36,523,714.00/6,174.24
  6. Step 6: Final answer
    x = 5,915.50

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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.