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Finding the Fourth Proportional to 4,706.40, 6,494.40 and 2,610.12

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Solution

The fourth proportional to 4,706.40, 6,494.40 and 2,610.12 is: 3,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.40 : 6,494.40 = 2,610.12 : x
  2. Step 2: Convert to fraction form
    4,706.40/6,494.40 = 2,610.12/x
  3. Step 3: Cross multiply
    4,706.40x = 6,494.40 × 2,610.12
  4. Step 4: Simplify right side
    4,706.40x = 16,951,163.33
  5. Step 5: Solve for x
    x = 16,951,163.33/4,706.40
  6. Step 6: Final answer
    x = 3,601.73

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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.