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Finding the Fourth Proportional to 9,784.44, 14,676.84 and 2,388.96

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Solution

The fourth proportional to 9,784.44, 14,676.84 and 2,388.96 is: 3,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.44 : 14,676.84 = 2,388.96 : x
  2. Step 2: Convert to fraction form
    9,784.44/14,676.84 = 2,388.96/x
  3. Step 3: Cross multiply
    9,784.44x = 14,676.84 × 2,388.96
  4. Step 4: Simplify right side
    9,784.44x = 35,062,383.69
  5. Step 5: Solve for x
    x = 35,062,383.69/9,784.44
  6. Step 6: Final answer
    x = 3,583.48

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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.