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Finding the Fourth Proportional to 11,783.44, 16,262.52 and 6,748.48

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Solution

The fourth proportional to 11,783.44, 16,262.52 and 6,748.48 is: 9,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.44 : 16,262.52 = 6,748.48 : x
  2. Step 2: Convert to fraction form
    11,783.44/16,262.52 = 6,748.48/x
  3. Step 3: Cross multiply
    11,783.44x = 16,262.52 × 6,748.48
  4. Step 4: Simplify right side
    11,783.44x = 109,747,290.97
  5. Step 5: Solve for x
    x = 109,747,290.97/11,783.44
  6. Step 6: Final answer
    x = 9,313.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.