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Finding the Fourth Proportional to 9,644.75, 14,467.13 and 3,488.75

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Solution

The fourth proportional to 9,644.75, 14,467.13 and 3,488.75 is: 5,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.75 : 14,467.13 = 3,488.75 : x
  2. Step 2: Convert to fraction form
    9,644.75/14,467.13 = 3,488.75/x
  3. Step 3: Cross multiply
    9,644.75x = 14,467.13 × 3,488.75
  4. Step 4: Simplify right side
    9,644.75x = 50,472,199.79
  5. Step 5: Solve for x
    x = 50,472,199.79/9,644.75
  6. Step 6: Final answer
    x = 5,233.13

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Similar ratio
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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.