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Finding the Fourth Proportional to 6,863.92, 9,473.96 and 4,384.24

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Solution

The fourth proportional to 6,863.92, 9,473.96 and 4,384.24 is: 6,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.92 : 9,473.96 = 4,384.24 : x
  2. Step 2: Convert to fraction form
    6,863.92/9,473.96 = 4,384.24/x
  3. Step 3: Cross multiply
    6,863.92x = 9,473.96 × 4,384.24
  4. Step 4: Simplify right side
    6,863.92x = 41,536,114.39
  5. Step 5: Solve for x
    x = 41,536,114.39/6,863.92
  6. Step 6: Final answer
    x = 6,051.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.