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Finding the Fourth Proportional to 9,830.44, 13,552.74 and 9,524.68

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Solution

The fourth proportional to 9,830.44, 13,552.74 and 9,524.68 is: 13,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.44 : 13,552.74 = 9,524.68 : x
  2. Step 2: Convert to fraction form
    9,830.44/13,552.74 = 9,524.68/x
  3. Step 3: Cross multiply
    9,830.44x = 13,552.74 × 9,524.68
  4. Step 4: Simplify right side
    9,830.44x = 129,085,511.62
  5. Step 5: Solve for x
    x = 129,085,511.62/9,830.44
  6. Step 6: Final answer
    x = 13,131.20

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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.