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Finding the Fourth Proportional to 11,593.72, 17,351.70 and 9,513.64

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Solution

The fourth proportional to 11,593.72, 17,351.70 and 9,513.64 is: 14,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.72 : 17,351.70 = 9,513.64 : x
  2. Step 2: Convert to fraction form
    11,593.72/17,351.70 = 9,513.64/x
  3. Step 3: Cross multiply
    11,593.72x = 17,351.70 × 9,513.64
  4. Step 4: Simplify right side
    11,593.72x = 165,077,827.19
  5. Step 5: Solve for x
    x = 165,077,827.19/11,593.72
  6. Step 6: Final answer
    x = 14,238.56

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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.