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Finding the Fourth Proportional to 12,549.78, 17,311.50 and 7,825.86

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Solution

The fourth proportional to 12,549.78, 17,311.50 and 7,825.86 is: 10,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.78 : 17,311.50 = 7,825.86 : x
  2. Step 2: Convert to fraction form
    12,549.78/17,311.50 = 7,825.86/x
  3. Step 3: Cross multiply
    12,549.78x = 17,311.50 × 7,825.86
  4. Step 4: Simplify right side
    12,549.78x = 135,477,375.39
  5. Step 5: Solve for x
    x = 135,477,375.39/12,549.78
  6. Step 6: Final answer
    x = 10,795.20

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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.