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Finding the Fourth Proportional to 9,469.10, 14,203.65 and 3,625.71

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Solution

The fourth proportional to 9,469.10, 14,203.65 and 3,625.71 is: 5,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.10 : 14,203.65 = 3,625.71 : x
  2. Step 2: Convert to fraction form
    9,469.10/14,203.65 = 3,625.71/x
  3. Step 3: Cross multiply
    9,469.10x = 14,203.65 × 3,625.71
  4. Step 4: Simplify right side
    9,469.10x = 51,498,349.27
  5. Step 5: Solve for x
    x = 51,498,349.27/9,469.10
  6. Step 6: Final answer
    x = 5,438.57

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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.