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Finding the Fourth Proportional to 4,969.37, 7,454.08 and 1,682.49

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Solution

The fourth proportional to 4,969.37, 7,454.08 and 1,682.49 is: 2,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.37 : 7,454.08 = 1,682.49 : x
  2. Step 2: Convert to fraction form
    4,969.37/7,454.08 = 1,682.49/x
  3. Step 3: Cross multiply
    4,969.37x = 7,454.08 × 1,682.49
  4. Step 4: Simplify right side
    4,969.37x = 12,541,393.72
  5. Step 5: Solve for x
    x = 12,541,393.72/4,969.37
  6. Step 6: Final answer
    x = 2,523.74

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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.