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Finding the Fourth Proportional to 6,494.70, 9,749.34 and 2,601.84

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Solution

The fourth proportional to 6,494.70, 9,749.34 and 2,601.84 is: 3,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.70 : 9,749.34 = 2,601.84 : x
  2. Step 2: Convert to fraction form
    6,494.70/9,749.34 = 2,601.84/x
  3. Step 3: Cross multiply
    6,494.70x = 9,749.34 × 2,601.84
  4. Step 4: Simplify right side
    6,494.70x = 25,366,222.79
  5. Step 5: Solve for x
    x = 25,366,222.79/6,494.70
  6. Step 6: Final answer
    x = 3,905.68

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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.