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Finding the Fourth Proportional to 6,936.50, 10,404.84 and 2,319.50

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Solution

The fourth proportional to 6,936.50, 10,404.84 and 2,319.50 is: 3,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.50 : 10,404.84 = 2,319.50 : x
  2. Step 2: Convert to fraction form
    6,936.50/10,404.84 = 2,319.50/x
  3. Step 3: Cross multiply
    6,936.50x = 10,404.84 × 2,319.50
  4. Step 4: Simplify right side
    6,936.50x = 24,134,026.38
  5. Step 5: Solve for x
    x = 24,134,026.38/6,936.50
  6. Step 6: Final answer
    x = 3,479.28

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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.