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Finding the Fourth Proportional to 6,512.75, 9,769.13 and 1,582.36

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Solution

The fourth proportional to 6,512.75, 9,769.13 and 1,582.36 is: 2,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.75 : 9,769.13 = 1,582.36 : x
  2. Step 2: Convert to fraction form
    6,512.75/9,769.13 = 1,582.36/x
  3. Step 3: Cross multiply
    6,512.75x = 9,769.13 × 1,582.36
  4. Step 4: Simplify right side
    6,512.75x = 15,458,247.65
  5. Step 5: Solve for x
    x = 15,458,247.65/6,512.75
  6. Step 6: Final answer
    x = 2,373.54

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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.