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Finding the Fourth Proportional to 6,736.32, 10,106.90 and 2,354.42

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Solution

The fourth proportional to 6,736.32, 10,106.90 and 2,354.42 is: 3,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.32 : 10,106.90 = 2,354.42 : x
  2. Step 2: Convert to fraction form
    6,736.32/10,106.90 = 2,354.42/x
  3. Step 3: Cross multiply
    6,736.32x = 10,106.90 × 2,354.42
  4. Step 4: Simplify right side
    6,736.32x = 23,795,887.50
  5. Step 5: Solve for x
    x = 23,795,887.50/6,736.32
  6. Step 6: Final answer
    x = 3,532.48

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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.