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Finding the Fourth Proportional to 11,593.85, 17,351.89 and 9,513.77

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Solution

The fourth proportional to 11,593.85, 17,351.89 and 9,513.77 is: 14,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.85 : 17,351.89 = 9,513.77 : x
  2. Step 2: Convert to fraction form
    11,593.85/17,351.89 = 9,513.77/x
  3. Step 3: Cross multiply
    11,593.85x = 17,351.89 × 9,513.77
  4. Step 4: Simplify right side
    11,593.85x = 165,081,779.98
  5. Step 5: Solve for x
    x = 165,081,779.98/11,593.85
  6. Step 6: Final answer
    x = 14,238.74

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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.