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Finding the Fourth Proportional to 24,277.94, 36,416.92 and 6,747.92

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Solution

The fourth proportional to 24,277.94, 36,416.92 and 6,747.92 is: 10,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.94 : 36,416.92 = 6,747.92 : x
  2. Step 2: Convert to fraction form
    24,277.94/36,416.92 = 6,747.92/x
  3. Step 3: Cross multiply
    24,277.94x = 36,416.92 × 6,747.92
  4. Step 4: Simplify right side
    24,277.94x = 245,738,462.81
  5. Step 5: Solve for x
    x = 245,738,462.81/24,277.94
  6. Step 6: Final answer
    x = 10,121.88

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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.