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Finding the Fourth Proportional to 7,625.25, 10,522.25 and 4,267.44

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Solution

The fourth proportional to 7,625.25, 10,522.25 and 4,267.44 is: 5,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.25 : 10,522.25 = 4,267.44 : x
  2. Step 2: Convert to fraction form
    7,625.25/10,522.25 = 4,267.44/x
  3. Step 3: Cross multiply
    7,625.25x = 10,522.25 × 4,267.44
  4. Step 4: Simplify right side
    7,625.25x = 44,903,070.54
  5. Step 5: Solve for x
    x = 44,903,070.54/7,625.25
  6. Step 6: Final answer
    x = 5,888.73

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Half scale
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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.