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Finding the Fourth Proportional to 7,846.66, 11,741.79 and 5,761.49

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Solution

The fourth proportional to 7,846.66, 11,741.79 and 5,761.49 is: 8,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.66 : 11,741.79 = 5,761.49 : x
  2. Step 2: Convert to fraction form
    7,846.66/11,741.79 = 5,761.49/x
  3. Step 3: Cross multiply
    7,846.66x = 11,741.79 × 5,761.49
  4. Step 4: Simplify right side
    7,846.66x = 67,650,235.02
  5. Step 5: Solve for x
    x = 67,650,235.02/7,846.66
  6. Step 6: Final answer
    x = 8,621.53

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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.