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Finding the Fourth Proportional to 11,596.88, 17,301.28 and 10,645.40

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Solution

The fourth proportional to 11,596.88, 17,301.28 and 10,645.40 is: 15,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.88 : 17,301.28 = 10,645.40 : x
  2. Step 2: Convert to fraction form
    11,596.88/17,301.28 = 10,645.40/x
  3. Step 3: Cross multiply
    11,596.88x = 17,301.28 × 10,645.40
  4. Step 4: Simplify right side
    11,596.88x = 184,179,046.11
  5. Step 5: Solve for x
    x = 184,179,046.11/11,596.88
  6. Step 6: Final answer
    x = 15,881.78

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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.