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Finding the Fourth Proportional to 7,846.92, 11,776.86 and 3,233.16

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Solution

The fourth proportional to 7,846.92, 11,776.86 and 3,233.16 is: 4,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.92 : 11,776.86 = 3,233.16 : x
  2. Step 2: Convert to fraction form
    7,846.92/11,776.86 = 3,233.16/x
  3. Step 3: Cross multiply
    7,846.92x = 11,776.86 × 3,233.16
  4. Step 4: Simplify right side
    7,846.92x = 38,076,472.68
  5. Step 5: Solve for x
    x = 38,076,472.68/7,846.92
  6. Step 6: Final answer
    x = 4,852.41

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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.