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Finding the Fourth Proportional to 7,846.68, 11,770.01 and 2,003.29

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Solution

The fourth proportional to 7,846.68, 11,770.01 and 2,003.29 is: 3,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.68 : 11,770.01 = 2,003.29 : x
  2. Step 2: Convert to fraction form
    7,846.68/11,770.01 = 2,003.29/x
  3. Step 3: Cross multiply
    7,846.68x = 11,770.01 × 2,003.29
  4. Step 4: Simplify right side
    7,846.68x = 23,578,684.48
  5. Step 5: Solve for x
    x = 23,578,684.48/7,846.68
  6. Step 6: Final answer
    x = 3,004.92

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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.