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Finding the Fourth Proportional to 11,411.70, 17,094.30 and 9,310.80

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Solution

The fourth proportional to 11,411.70, 17,094.30 and 9,310.80 is: 13,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.70 : 17,094.30 = 9,310.80 : x
  2. Step 2: Convert to fraction form
    11,411.70/17,094.30 = 9,310.80/x
  3. Step 3: Cross multiply
    11,411.70x = 17,094.30 × 9,310.80
  4. Step 4: Simplify right side
    11,411.70x = 159,161,608.44
  5. Step 5: Solve for x
    x = 159,161,608.44/11,411.70
  6. Step 6: Final answer
    x = 13,947.23

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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.