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Finding the Fourth Proportional to 6,409.74, 9,614.87 and 2,462.92

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Solution

The fourth proportional to 6,409.74, 9,614.87 and 2,462.92 is: 3,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.74 : 9,614.87 = 2,462.92 : x
  2. Step 2: Convert to fraction form
    6,409.74/9,614.87 = 2,462.92/x
  3. Step 3: Cross multiply
    6,409.74x = 9,614.87 × 2,462.92
  4. Step 4: Simplify right side
    6,409.74x = 23,680,628.50
  5. Step 5: Solve for x
    x = 23,680,628.50/6,409.74
  6. Step 6: Final answer
    x = 3,694.47

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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.