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Finding the Fourth Proportional to 24,486.56, 36,728.88 and 7,847.48

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Solution

The fourth proportional to 24,486.56, 36,728.88 and 7,847.48 is: 11,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486.56 : 36,728.88 = 7,847.48 : x
  2. Step 2: Convert to fraction form
    24,486.56/36,728.88 = 7,847.48/x
  3. Step 3: Cross multiply
    24,486.56x = 36,728.88 × 7,847.48
  4. Step 4: Simplify right side
    24,486.56x = 288,229,151.22
  5. Step 5: Solve for x
    x = 288,229,151.22/24,486.56
  6. Step 6: Final answer
    x = 11,770.91

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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.