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Finding the Fourth Proportional to 6,094.68, 8,415 and 3,739.92

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Solution

The fourth proportional to 6,094.68, 8,415 and 3,739.92 is: 5,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.68 : 8,415 = 3,739.92 : x
  2. Step 2: Convert to fraction form
    6,094.68/8,415 = 3,739.92/x
  3. Step 3: Cross multiply
    6,094.68x = 8,415 × 3,739.92
  4. Step 4: Simplify right side
    6,094.68x = 31,471,426.80
  5. Step 5: Solve for x
    x = 31,471,426.80/6,094.68
  6. Step 6: Final answer
    x = 5,163.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.