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Finding the Fourth Proportional to 6,474.95, 9,710.04 and 2,313.83

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Solution

The fourth proportional to 6,474.95, 9,710.04 and 2,313.83 is: 3,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.95 : 9,710.04 = 2,313.83 : x
  2. Step 2: Convert to fraction form
    6,474.95/9,710.04 = 2,313.83/x
  3. Step 3: Cross multiply
    6,474.95x = 9,710.04 × 2,313.83
  4. Step 4: Simplify right side
    6,474.95x = 22,467,414.81
  5. Step 5: Solve for x
    x = 22,467,414.81/6,474.95
  6. Step 6: Final answer
    x = 3,469.90

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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.