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Finding the Fourth Proportional to 6,494.40, 9,739.71 and 2,333.70

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Solution

The fourth proportional to 6,494.40, 9,739.71 and 2,333.70 is: 3,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.40 : 9,739.71 = 2,333.70 : x
  2. Step 2: Convert to fraction form
    6,494.40/9,739.71 = 2,333.70/x
  3. Step 3: Cross multiply
    6,494.40x = 9,739.71 × 2,333.70
  4. Step 4: Simplify right side
    6,494.40x = 22,729,561.23
  5. Step 5: Solve for x
    x = 22,729,561.23/6,494.40
  6. Step 6: Final answer
    x = 3,499.87

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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.