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Finding the Fourth Proportional to 9,872.91, 13,625.46 and 5,625.27

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Solution

The fourth proportional to 9,872.91, 13,625.46 and 5,625.27 is: 7,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.91 : 13,625.46 = 5,625.27 : x
  2. Step 2: Convert to fraction form
    9,872.91/13,625.46 = 5,625.27/x
  3. Step 3: Cross multiply
    9,872.91x = 13,625.46 × 5,625.27
  4. Step 4: Simplify right side
    9,872.91x = 76,646,891.37
  5. Step 5: Solve for x
    x = 76,646,891.37/9,872.91
  6. Step 6: Final answer
    x = 7,763.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.