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Finding the Fourth Proportional to 9,829.75, 14,744.76 and 5,455.75

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Solution

The fourth proportional to 9,829.75, 14,744.76 and 5,455.75 is: 8,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.75 : 14,744.76 = 5,455.75 : x
  2. Step 2: Convert to fraction form
    9,829.75/14,744.76 = 5,455.75/x
  3. Step 3: Cross multiply
    9,829.75x = 14,744.76 × 5,455.75
  4. Step 4: Simplify right side
    9,829.75x = 80,443,724.37
  5. Step 5: Solve for x
    x = 80,443,724.37/9,829.75
  6. Step 6: Final answer
    x = 8,183.70

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1.5x scale

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.