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Finding the Fourth Proportional to 6,322.92, 9,484.38 and 2,162.97

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Solution

The fourth proportional to 6,322.92, 9,484.38 and 2,162.97 is: 3,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.92 : 9,484.38 = 2,162.97 : x
  2. Step 2: Convert to fraction form
    6,322.92/9,484.38 = 2,162.97/x
  3. Step 3: Cross multiply
    6,322.92x = 9,484.38 × 2,162.97
  4. Step 4: Simplify right side
    6,322.92x = 20,514,429.41
  5. Step 5: Solve for x
    x = 20,514,429.41/6,322.92
  6. Step 6: Final answer
    x = 3,244.46

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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.