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Finding the Fourth Proportional to 6,411.92, 9,623.28 and 2,519.06

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Solution

The fourth proportional to 6,411.92, 9,623.28 and 2,519.06 is: 3,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.92 : 9,623.28 = 2,519.06 : x
  2. Step 2: Convert to fraction form
    6,411.92/9,623.28 = 2,519.06/x
  3. Step 3: Cross multiply
    6,411.92x = 9,623.28 × 2,519.06
  4. Step 4: Simplify right side
    6,411.92x = 24,241,619.72
  5. Step 5: Solve for x
    x = 24,241,619.72/6,411.92
  6. Step 6: Final answer
    x = 3,780.71

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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.