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Finding the Fourth Proportional to 11,410.56, 17,023.68 and 9,747.84

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Solution

The fourth proportional to 11,410.56, 17,023.68 and 9,747.84 is: 14,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.56 : 17,023.68 = 9,747.84 : x
  2. Step 2: Convert to fraction form
    11,410.56/17,023.68 = 9,747.84/x
  3. Step 3: Cross multiply
    11,410.56x = 17,023.68 × 9,747.84
  4. Step 4: Simplify right side
    11,410.56x = 165,944,108.85
  5. Step 5: Solve for x
    x = 165,944,108.85/11,410.56
  6. Step 6: Final answer
    x = 14,543.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.