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Finding the Fourth Proportional to 11,591.40, 17,302.29 and 9,958.44

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Solution

The fourth proportional to 11,591.40, 17,302.29 and 9,958.44 is: 14,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.40 : 17,302.29 = 9,958.44 : x
  2. Step 2: Convert to fraction form
    11,591.40/17,302.29 = 9,958.44/x
  3. Step 3: Cross multiply
    11,591.40x = 17,302.29 × 9,958.44
  4. Step 4: Simplify right side
    11,591.40x = 172,303,816.83
  5. Step 5: Solve for x
    x = 172,303,816.83/11,591.40
  6. Step 6: Final answer
    x = 14,864.80

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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.