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Finding the Fourth Proportional to 6,832.34, 10,225.34 and 4,201.50

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Solution

The fourth proportional to 6,832.34, 10,225.34 and 4,201.50 is: 6,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.34 : 10,225.34 = 4,201.50 : x
  2. Step 2: Convert to fraction form
    6,832.34/10,225.34 = 4,201.50/x
  3. Step 3: Cross multiply
    6,832.34x = 10,225.34 × 4,201.50
  4. Step 4: Simplify right side
    6,832.34x = 42,961,714.88
  5. Step 5: Solve for x
    x = 42,961,714.88/6,832.34
  6. Step 6: Final answer
    x = 6,288.00

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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.