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Finding the Fourth Proportional to 10,969.62, 16,454.79 and 3,178.50

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Solution

The fourth proportional to 10,969.62, 16,454.79 and 3,178.50 is: 4,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.62 : 16,454.79 = 3,178.50 : x
  2. Step 2: Convert to fraction form
    10,969.62/16,454.79 = 3,178.50/x
  3. Step 3: Cross multiply
    10,969.62x = 16,454.79 × 3,178.50
  4. Step 4: Simplify right side
    10,969.62x = 52,301,550.02
  5. Step 5: Solve for x
    x = 52,301,550.02/10,969.62
  6. Step 6: Final answer
    x = 4,767.85

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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.