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Finding the Fourth Proportional to 11,777.87, 16,253.41 and 6,742.07

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Solution

The fourth proportional to 11,777.87, 16,253.41 and 6,742.07 is: 9,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.87 : 16,253.41 = 6,742.07 : x
  2. Step 2: Convert to fraction form
    11,777.87/16,253.41 = 6,742.07/x
  3. Step 3: Cross multiply
    11,777.87x = 16,253.41 × 6,742.07
  4. Step 4: Simplify right side
    11,777.87x = 109,581,512.98
  5. Step 5: Solve for x
    x = 109,581,512.98/11,777.87
  6. Step 6: Final answer
    x = 9,304.02

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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.