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Finding the Fourth Proportional to 24,728.56, 37,086.12 and 7,193.84

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Solution

The fourth proportional to 24,728.56, 37,086.12 and 7,193.84 is: 10,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.56 : 37,086.12 = 7,193.84 : x
  2. Step 2: Convert to fraction form
    24,728.56/37,086.12 = 7,193.84/x
  3. Step 3: Cross multiply
    24,728.56x = 37,086.12 × 7,193.84
  4. Step 4: Simplify right side
    24,728.56x = 266,791,613.50
  5. Step 5: Solve for x
    x = 266,791,613.50/24,728.56
  6. Step 6: Final answer
    x = 10,788.81

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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.