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Finding the Fourth Proportional to 6,759.64, 10,142.70 and 3,295

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Solution

The fourth proportional to 6,759.64, 10,142.70 and 3,295 is: 4,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.64 : 10,142.70 = 3,295 : x
  2. Step 2: Convert to fraction form
    6,759.64/10,142.70 = 3,295/x
  3. Step 3: Cross multiply
    6,759.64x = 10,142.70 × 3,295
  4. Step 4: Simplify right side
    6,759.64x = 33,420,196.50
  5. Step 5: Solve for x
    x = 33,420,196.50/6,759.64
  6. Step 6: Final answer
    x = 4,944.08

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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.