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Finding the Fourth Proportional to 6,512.73, 9,769.10 and 1,582.37

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Solution

The fourth proportional to 6,512.73, 9,769.10 and 1,582.37 is: 2,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.73 : 9,769.10 = 1,582.37 : x
  2. Step 2: Convert to fraction form
    6,512.73/9,769.10 = 1,582.37/x
  3. Step 3: Cross multiply
    6,512.73x = 9,769.10 × 1,582.37
  4. Step 4: Simplify right side
    6,512.73x = 15,458,274.01
  5. Step 5: Solve for x
    x = 15,458,274.01/6,512.73
  6. Step 6: Final answer
    x = 2,373.55

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Similar ratio
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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.