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Finding the Fourth Proportional to 7,846.88, 11,769.40 and 2,003.54

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Solution

The fourth proportional to 7,846.88, 11,769.40 and 2,003.54 is: 3,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.88 : 11,769.40 = 2,003.54 : x
  2. Step 2: Convert to fraction form
    7,846.88/11,769.40 = 2,003.54/x
  3. Step 3: Cross multiply
    7,846.88x = 11,769.40 × 2,003.54
  4. Step 4: Simplify right side
    7,846.88x = 23,580,407.33
  5. Step 5: Solve for x
    x = 23,580,407.33/7,846.88
  6. Step 6: Final answer
    x = 3,005.07

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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.