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Finding the Fourth Proportional to 9,783.92, 14,676.36 and 3,207.44

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Solution

The fourth proportional to 9,783.92, 14,676.36 and 3,207.44 is: 4,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.92 : 14,676.36 = 3,207.44 : x
  2. Step 2: Convert to fraction form
    9,783.92/14,676.36 = 3,207.44/x
  3. Step 3: Cross multiply
    9,783.92x = 14,676.36 × 3,207.44
  4. Step 4: Simplify right side
    9,783.92x = 47,073,544.12
  5. Step 5: Solve for x
    x = 47,073,544.12/9,783.92
  6. Step 6: Final answer
    x = 4,811.32

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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.