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Finding the Fourth Proportional to 11,739.63, 16,201.44 and 7,753.76

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Solution

The fourth proportional to 11,739.63, 16,201.44 and 7,753.76 is: 10,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.63 : 16,201.44 = 7,753.76 : x
  2. Step 2: Convert to fraction form
    11,739.63/16,201.44 = 7,753.76/x
  3. Step 3: Cross multiply
    11,739.63x = 16,201.44 × 7,753.76
  4. Step 4: Simplify right side
    11,739.63x = 125,621,996.41
  5. Step 5: Solve for x
    x = 125,621,996.41/11,739.63
  6. Step 6: Final answer
    x = 10,700.68

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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.