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Finding the Fourth Proportional to 9,850.32, 14,776.49 and 3,274.74

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Solution

The fourth proportional to 9,850.32, 14,776.49 and 3,274.74 is: 4,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.32 : 14,776.49 = 3,274.74 : x
  2. Step 2: Convert to fraction form
    9,850.32/14,776.49 = 3,274.74/x
  3. Step 3: Cross multiply
    9,850.32x = 14,776.49 × 3,274.74
  4. Step 4: Simplify right side
    9,850.32x = 48,389,171.05
  5. Step 5: Solve for x
    x = 48,389,171.05/9,850.32
  6. Step 6: Final answer
    x = 4,912.45

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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.