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Finding the Fourth Proportional to 12,912.75, 17,819.60 and 7,323.75

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Solution

The fourth proportional to 12,912.75, 17,819.60 and 7,323.75 is: 10,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.75 : 17,819.60 = 7,323.75 : x
  2. Step 2: Convert to fraction form
    12,912.75/17,819.60 = 7,323.75/x
  3. Step 3: Cross multiply
    12,912.75x = 17,819.60 × 7,323.75
  4. Step 4: Simplify right side
    12,912.75x = 130,506,258.88
  5. Step 5: Solve for x
    x = 130,506,258.88/12,912.75
  6. Step 6: Final answer
    x = 10,106.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.