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Finding the Fourth Proportional to 9,649.75, 14,474.67 and 3,493.75

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Solution

The fourth proportional to 9,649.75, 14,474.67 and 3,493.75 is: 5,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.75 : 14,474.67 = 3,493.75 : x
  2. Step 2: Convert to fraction form
    9,649.75/14,474.67 = 3,493.75/x
  3. Step 3: Cross multiply
    9,649.75x = 14,474.67 × 3,493.75
  4. Step 4: Simplify right side
    9,649.75x = 50,570,878.31
  5. Step 5: Solve for x
    x = 50,570,878.31/9,649.75
  6. Step 6: Final answer
    x = 5,240.64

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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.