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Finding the Fourth Proportional to 9,860.50, 14,783.46 and 3,282.76

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Solution

The fourth proportional to 9,860.50, 14,783.46 and 3,282.76 is: 4,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.50 : 14,783.46 = 3,282.76 : x
  2. Step 2: Convert to fraction form
    9,860.50/14,783.46 = 3,282.76/x
  3. Step 3: Cross multiply
    9,860.50x = 14,783.46 × 3,282.76
  4. Step 4: Simplify right side
    9,860.50x = 48,530,551.15
  5. Step 5: Solve for x
    x = 48,530,551.15/9,860.50
  6. Step 6: Final answer
    x = 4,921.71

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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.