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Finding the Fourth Proportional to 9,774.22, 14,660.17 and 2,754.76

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Solution

The fourth proportional to 9,774.22, 14,660.17 and 2,754.76 is: 4,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.22 : 14,660.17 = 2,754.76 : x
  2. Step 2: Convert to fraction form
    9,774.22/14,660.17 = 2,754.76/x
  3. Step 3: Cross multiply
    9,774.22x = 14,660.17 × 2,754.76
  4. Step 4: Simplify right side
    9,774.22x = 40,385,249.91
  5. Step 5: Solve for x
    x = 40,385,249.91/9,774.22
  6. Step 6: Final answer
    x = 4,131.81

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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.