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Finding the Fourth Proportional to 9,672.88, 14,480.16 and 6,375.64

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Solution

The fourth proportional to 9,672.88, 14,480.16 and 6,375.64 is: 9,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.88 : 14,480.16 = 6,375.64 : x
  2. Step 2: Convert to fraction form
    9,672.88/14,480.16 = 6,375.64/x
  3. Step 3: Cross multiply
    9,672.88x = 14,480.16 × 6,375.64
  4. Step 4: Simplify right side
    9,672.88x = 92,320,287.30
  5. Step 5: Solve for x
    x = 92,320,287.30/9,672.88
  6. Step 6: Final answer
    x = 9,544.24

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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.