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Finding the Fourth Proportional to 11,573.57, 17,353.00 and 9,819.18

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Solution

The fourth proportional to 11,573.57, 17,353.00 and 9,819.18 is: 14,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.57 : 17,353.00 = 9,819.18 : x
  2. Step 2: Convert to fraction form
    11,573.57/17,353.00 = 9,819.18/x
  3. Step 3: Cross multiply
    11,573.57x = 17,353.00 × 9,819.18
  4. Step 4: Simplify right side
    11,573.57x = 170,392,181.44
  5. Step 5: Solve for x
    x = 170,392,181.44/11,573.57
  6. Step 6: Final answer
    x = 14,722.53

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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.