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Finding the Fourth Proportional to 6,236.42, 9,354.36 and 2,538.50

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Solution

The fourth proportional to 6,236.42, 9,354.36 and 2,538.50 is: 3,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.42 : 9,354.36 = 2,538.50 : x
  2. Step 2: Convert to fraction form
    6,236.42/9,354.36 = 2,538.50/x
  3. Step 3: Cross multiply
    6,236.42x = 9,354.36 × 2,538.50
  4. Step 4: Simplify right side
    6,236.42x = 23,746,042.86
  5. Step 5: Solve for x
    x = 23,746,042.86/6,236.42
  6. Step 6: Final answer
    x = 3,807.64

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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.